Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072l |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-45729413332992 = -1 · 220 · 38 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 2 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5407,-288927] |
[a1,a2,a3,a4,a6] |
j |
66676466375/174443868 |
j-invariant |
L |
1.3159420527752 |
L(r)(E,1)/r! |
Ω |
0.32898551805039 |
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 |
75072cr1 2346f1 |
Quadratic twists by: -4 8 |