Atkin-Lehner |
2- 7- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
89474m |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-1718616592 = -1 · 24 · 76 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,260,1103] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:29:1] |
Generators of the group modulo torsion |
j |
16581375/14608 |
j-invariant |
L |
9.3212457441116 |
L(r)(E,1)/r! |
Ω |
0.97179814787433 |
Real period |
R |
2.3979377209047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1826b1 |
Quadratic twists by: -7 |