Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92450s |
Isogeny class |
Conductor |
92450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39916800 |
Modular degree for the optimal curve |
Δ |
-1.4960896355329E+23 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 -1 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-561965992,-5127481787584] |
[a1,a2,a3,a4,a6] |
Generators |
[34854460993876493402932867999861623208465768911674509549739517010832942977048366103974131734770113659116589607:4324226083559679933122188605430565978746626344701651352447943709481881113591807030513951623253599304847185171116:983205468763262851438348566378137564248894951658238055669191777014484568172744529378863321393069872471299] |
Generators of the group modulo torsion |
j |
-7948461006944145/60588032 |
j-invariant |
L |
10.315089321235 |
L(r)(E,1)/r! |
Ω |
0.015503931886199 |
Real period |
R |
166.33021540842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92450be1 2150r1 |
Quadratic twists by: 5 -43 |