Atkin-Lehner |
3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235b |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
69293903085 = 39 · 5 · 113 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7778,-261764] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:31:1] [107:296:1] |
Generators of the group modulo torsion |
j |
1986121593/2645 |
j-invariant |
L |
7.3639481524809 |
L(r)(E,1)/r! |
Ω |
0.50841887302544 |
Real period |
R |
7.2420090356182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000010623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235e2 125235a2 |
Quadratic twists by: -3 -11 |