Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600b |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3810304000000000000 = 222 · 512 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-390700,-3906000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1477481995:-25798816953:3048625] |
Generators of the group modulo torsion |
j |
1610252558361/930250000 |
j-invariant |
L |
6.9533566113079 |
L(r)(E,1)/r! |
Ω |
0.20862924876817 |
Real period |
R |
16.664385862724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005554 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97600bs2 3050j2 19520a2 |
Quadratic twists by: -4 8 5 |