Atkin-Lehner |
2+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
116288h |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
191608180424704 = 214 · 236 · 79 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144657,-21118031] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:92:1] [640:12167:1] |
Generators of the group modulo torsion |
j |
20432670779186512/11694835231 |
j-invariant |
L |
7.1092677282478 |
L(r)(E,1)/r! |
Ω |
0.24481011658372 |
Real period |
R |
7.2599815575609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288v2 7268c2 |
Quadratic twists by: -4 8 |