Atkin-Lehner |
2+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498c |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
1848518823458492416 = 212 · 7 · 118 · 673 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 11- 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-317507,21489598] |
[a1,a2,a3,a4,a6] |
Generators |
[66755:225984:125] |
Generators of the group modulo torsion |
j |
1998138318898177/1043440685056 |
j-invariant |
L |
7.0241102401274 |
L(r)(E,1)/r! |
Ω |
0.23193975084629 |
Real period |
R |
2.5236834975398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999722613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318i1 |
Quadratic twists by: -11 |