Atkin-Lehner |
2+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62530g |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
136380311142400 = 226 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35749,-2531307] |
[a1,a2,a3,a4,a6] |
j |
2299811187563973/62075699200 |
j-invariant |
L |
2.7822020880547 |
L(r)(E,1)/r! |
Ω |
0.34777526135843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62530q1 |
Quadratic twists by: 13 |