Atkin-Lehner |
2+ 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680p |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-74719087368750000 = -1 · 24 · 38 · 58 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-623931,-190357200] |
[a1,a2,a3,a4,a6] |
j |
-1678858592511957551104/4669942960546875 |
j-invariant |
L |
2.0380942028902 |
L(r)(E,1)/r! |
Ω |
0.084920590383856 |
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 |
48840a1 |
Quadratic twists by: -4 |