Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bf |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
2407680 |
Modular degree for the optimal curve |
Δ |
197190506678307714 = 2 · 311 · 117 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-685468,217333664] |
[a1,a2,a3,a4,a6] |
Generators |
[274:-7216:1] |
Generators of the group modulo torsion |
j |
703971110401/3897234 |
j-invariant |
L |
6.0775901299937 |
L(r)(E,1)/r! |
Ω |
0.31963652983913 |
Real period |
R |
0.28809191028559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154bh1 122694da1 |
Quadratic twists by: -11 13 |