Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616p |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-2807563144733424 = -1 · 24 · 33 · 79 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-654591,203862393] |
[a1,a2,a3,a4,a6] |
j |
-610325920583424/55240493 |
j-invariant |
L |
3.4658418783138 |
L(r)(E,1)/r! |
Ω |
0.43323023929099 |
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 |
38808by1 77616bd1 11088g1 |
Quadratic twists by: -4 -3 -7 |