Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350dv |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
20345472000 = 210 · 33 · 53 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2000,34227] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-75:1] [-258:2155:8] |
Generators of the group modulo torsion |
j |
262021139199/6028288 |
j-invariant |
L |
15.485107498358 |
L(r)(E,1)/r! |
Ω |
1.2132219894909 |
Real period |
R |
0.63818112566984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350v1 91350y1 |
Quadratic twists by: -3 5 |