Atkin-Lehner |
2- 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40850m |
Isogeny class |
Conductor |
40850 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-99347200000000 = -1 · 214 · 58 · 192 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -3 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6112,443392] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-976:1] [-32:480:1] |
Generators of the group modulo torsion |
j |
64641179615/254328832 |
j-invariant |
L |
9.3172240218327 |
L(r)(E,1)/r! |
Ω |
0.42662003516093 |
Real period |
R |
0.25999560370253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40850e1 |
Quadratic twists by: 5 |