Atkin-Lehner |
2+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39592c |
Isogeny class |
Conductor |
39592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-51125760267008 = -1 · 28 · 711 · 101 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3899828,2965560340] |
[a1,a2,a3,a4,a6] |
j |
-217787012453554000/1697507 |
j-invariant |
L |
1.7493571399478 |
L(r)(E,1)/r! |
Ω |
0.43733928497749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184c1 5656a1 |
Quadratic twists by: -4 -7 |