Atkin-Lehner |
2- 3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674bg |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
2566282306387968 = 218 · 36 · 75 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2519435,-1538595557] |
[a1,a2,a3,a4,a6] |
Generators |
[6283:477098:1] |
Generators of the group modulo torsion |
j |
2426082119578464971625/3520277512192 |
j-invariant |
L |
11.389024004173 |
L(r)(E,1)/r! |
Ω |
0.11983227830149 |
Real period |
R |
5.2800761514708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11186a1 |
Quadratic twists by: -3 |