Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350fi |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
2258149023648000 = 28 · 310 · 53 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1118210,455401217] |
[a1,a2,a3,a4,a6] |
Generators |
[555:2071:1] |
Generators of the group modulo torsion |
j |
1696898719801022093/24780784896 |
j-invariant |
L |
11.456018943656 |
L(r)(E,1)/r! |
Ω |
0.4215738474071 |
Real period |
R |
0.28306673035793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450bl1 91350cv1 |
Quadratic twists by: -3 5 |