Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
125316i |
Isogeny class |
Conductor |
125316 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-17540229888 = -1 · 28 · 39 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 -6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1416,21476] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:189:1] [16:-54:1] |
Generators of the group modulo torsion |
j |
-483328/27 |
j-invariant |
L |
10.426635314396 |
L(r)(E,1)/r! |
Ω |
1.2140122776796 |
Real period |
R |
0.71571457074232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41772a1 125316h1 |
Quadratic twists by: -3 -59 |