Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12400s |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1210937500000000 = 28 · 516 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30175,-1125750] |
[a1,a2,a3,a4,a6] |
Generators |
[8203013390:-131104921875:23393656] |
Generators of the group modulo torsion |
j |
759636032976/302734375 |
j-invariant |
L |
4.412006036702 |
L(r)(E,1)/r! |
Ω |
0.37490423311117 |
Real period |
R |
11.768354814478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3100a2 49600bz2 111600fd2 2480n2 |
Quadratic twists by: -4 8 -3 5 |