Atkin-Lehner |
3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
37275j |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
792000 |
Modular degree for the optimal curve |
Δ |
1664705576953125 = 35 · 58 · 72 · 713 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -3 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6835076,6877444673] |
[a1,a2,a3,a4,a6] |
Generators |
[1503:-326:1] |
Generators of the group modulo torsion |
j |
90405245485658051545/4261646277 |
j-invariant |
L |
8.3602318735146 |
L(r)(E,1)/r! |
Ω |
0.35335202440736 |
Real period |
R |
0.78865940063952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111825t1 37275e1 |
Quadratic twists by: -3 5 |