Atkin-Lehner |
2- 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642q |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
11926656 |
Modular degree for the optimal curve |
Δ |
-35170343629094912 = -1 · 218 · 78 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 1 4 7+ -3 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-345127336,2467812109888] |
[a1,a2,a3,a4,a6] |
j |
-788637582736643952535489/6100877312 |
j-invariant |
L |
6.5210234150311 |
L(r)(E,1)/r! |
Ω |
0.18113953942929 |
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 |
61642v1 |
Quadratic twists by: -7 |