Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298bn |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
57642216192 = 28 · 33 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14510,-668995] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:43:1] |
Generators of the group modulo torsion |
j |
103406718058875/17643776 |
j-invariant |
L |
11.654070396694 |
L(r)(E,1)/r! |
Ω |
0.43500022991957 |
Real period |
R |
1.6744345171474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298f2 89298g1 |
Quadratic twists by: -3 -11 |