Atkin-Lehner |
2- 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bx |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-20327343750 = -1 · 2 · 32 · 58 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 3 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5138,139781] |
[a1,a2,a3,a4,a6] |
j |
-38401771585/52038 |
j-invariant |
L |
4.850492882113 |
L(r)(E,1)/r! |
Ω |
1.2126232208451 |
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 |
61950o1 |
Quadratic twists by: 5 |