Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920m |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-609954649920 = -1 · 26 · 38 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-516,-37674] |
[a1,a2,a3,a4,a6] |
j |
-237867017536/9530541405 |
j-invariant |
L |
1.5992809088687 |
L(r)(E,1)/r! |
Ω |
0.39982023127442 |
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 |
73920cm1 36960bx2 |
Quadratic twists by: -4 8 |