Atkin-Lehner |
2+ 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125902a |
Isogeny class |
Conductor |
125902 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-15851313604 = -1 · 22 · 72 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ -2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7505,252209] |
[a1,a2,a3,a4,a6] |
Generators |
[1128:-3301:27] [-274:5611:8] |
Generators of the group modulo torsion |
j |
-167069436489/56644 |
j-invariant |
L |
7.6748281422129 |
L(r)(E,1)/r! |
Ω |
1.2161315160436 |
Real period |
R |
0.26295223980009 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125902f1 |
Quadratic twists by: -23 |