Atkin-Lehner |
2+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680i |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
6270484480 = 222 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 2 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1281,17665] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:172:1] [1:128:1] |
Generators of the group modulo torsion |
j |
887503681/23920 |
j-invariant |
L |
7.9384670458394 |
L(r)(E,1)/r! |
Ω |
1.3358305917079 |
Real period |
R |
1.4856799758796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bo1 2990f1 |
Quadratic twists by: -4 8 |