Atkin-Lehner |
2+ 3+ 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274c |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
26288572843008 = 210 · 32 · 72 · 175 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1212570,-514440684] |
[a1,a2,a3,a4,a6] |
j |
197171767422844871091625/26288572843008 |
j-invariant |
L |
0.28774169818247 |
L(r)(E,1)/r! |
Ω |
0.14387084909038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822bf1 |
Quadratic twists by: -3 |