Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616db |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
-6804657978217279488 = -1 · 212 · 39 · 78 · 114 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11- 5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-296352,-140026320] |
[a1,a2,a3,a4,a6] |
Generators |
[3969:247401:1] |
Generators of the group modulo torsion |
j |
-6193152/14641 |
j-invariant |
L |
5.3533020015431 |
L(r)(E,1)/r! |
Ω |
0.095511417733645 |
Real period |
R |
2.3353673873936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4851a1 77616cw1 77616ec1 |
Quadratic twists by: -4 -3 -7 |