Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840v |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
1114666181200 = 24 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 11- 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2662,-14641] |
[a1,a2,a3,a4,a6] |
Generators |
[-4740807:24762680:132651] |
Generators of the group modulo torsion |
j |
608256/325 |
j-invariant |
L |
15.809663392794 |
L(r)(E,1)/r! |
Ω |
0.70669219033041 |
Real period |
R |
11.185678484754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920l1 125840ba1 |
Quadratic twists by: -4 -11 |