Atkin-Lehner |
2+ 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680a |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
16117200 = 24 · 32 · 52 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2771,-55230] |
[a1,a2,a3,a4,a6] |
j |
147119427364864/1007325 |
j-invariant |
L |
1.3160048871832 |
L(r)(E,1)/r! |
Ω |
0.65800249707138 |
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 |
48840u1 |
Quadratic twists by: -4 |