Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ij |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
1071 |
Product of Tamagawa factors cp |
deg |
32387040 |
Modular degree for the optimal curve |
Δ |
1.9812135441932E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-75537323,-134138803023] |
[a1,a2,a3,a4,a6] |
Generators |
[-6722:267745:1] |
Generators of the group modulo torsion |
j |
16206164115169540524745/6736014906011025408 |
j-invariant |
L |
13.953625794199 |
L(r)(E,1)/r! |
Ω |
0.053129234476922 |
Real period |
R |
0.2452246025224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950bw1 2550r1 |
Quadratic twists by: 5 -7 |