Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bo |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-58804101562500 = -1 · 22 · 36 · 511 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6937,297281] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:388:1] |
Generators of the group modulo torsion |
j |
2362734140759/3763462500 |
j-invariant |
L |
9.1039251767905 |
L(r)(E,1)/r! |
Ω |
0.42632941801091 |
Real period |
R |
2.6692754452579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390j1 |
Quadratic twists by: 5 |