Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080br |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
213975738281250000 = 24 · 39 · 512 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-272298,-49957747] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:396:1] |
Generators of the group modulo torsion |
j |
191429804435224576/18344970703125 |
j-invariant |
L |
5.9699798896228 |
L(r)(E,1)/r! |
Ω |
0.21028222941272 |
Real period |
R |
3.5487900637423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360g1 |
Quadratic twists by: -3 |