Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bm |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-257720320 = -1 · 215 · 5 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,1520] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:48:1] |
Generators of the group modulo torsion |
j |
-2259169/520 |
j-invariant |
L |
6.9091893424446 |
L(r)(E,1)/r! |
Ω |
1.6690525936812 |
Real period |
R |
1.0348968870349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730e1 125840bx1 |
Quadratic twists by: -4 -11 |