Atkin-Lehner |
2+ 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
75152b |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1361920 |
Modular degree for the optimal curve |
Δ |
-44569790377392896 = -1 · 28 · 74 · 117 · 612 |
Discriminant |
Eigenvalues |
2+ 3 -3 7- 11+ -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46324,10858076] |
[a1,a2,a3,a4,a6] |
j |
-42943941806496768/174100743661691 |
j-invariant |
L |
2.5109668038937 |
L(r)(E,1)/r! |
Ω |
0.31387084551676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37576a1 |
Quadratic twists by: -4 |