Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cw |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
-414861603932160 = -1 · 211 · 33 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12728,1128251] |
[a1,a2,a3,a4,a6] |
Generators |
[333:5641:1] |
Generators of the group modulo torsion |
j |
-39397347/71680 |
j-invariant |
L |
9.6649276865231 |
L(r)(E,1)/r! |
Ω |
0.47458126506431 |
Real period |
R |
0.30856316725534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230l1 76230f1 |
Quadratic twists by: -3 -11 |