Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616de |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1188223344 = -1 · 24 · 39 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3213,70119] |
[a1,a2,a3,a4,a6] |
Generators |
[30:27:1] |
Generators of the group modulo torsion |
j |
-33958656/11 |
j-invariant |
L |
6.0397291584266 |
L(r)(E,1)/r! |
Ω |
1.5080695220492 |
Real period |
R |
1.0012352004597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404f1 77616dr1 77616dd1 |
Quadratic twists by: -4 -3 -7 |