Atkin-Lehner |
2- 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
91980f |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
30506112 |
Modular degree for the optimal curve |
Δ |
2.3111624442129E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2512942137,48486612306141] |
[a1,a2,a3,a4,a6] |
Generators |
[1850628:489375:64] |
Generators of the group modulo torsion |
j |
5572626077452218110536257792/73387010498046875 |
j-invariant |
L |
7.7992640175853 |
L(r)(E,1)/r! |
Ω |
0.085022963746178 |
Real period |
R |
3.5281255785625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91980a1 |
Quadratic twists by: -3 |