Atkin-Lehner |
2- 5+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
90850j |
Isogeny class |
Conductor |
90850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31392 |
Modular degree for the optimal curve |
Δ |
-660297800 = -1 · 23 · 52 · 232 · 792 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -3 -4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-473,3951] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-28:1] [78:115:8] |
Generators of the group modulo torsion |
j |
-468192562105/26411912 |
j-invariant |
L |
13.270624386205 |
L(r)(E,1)/r! |
Ω |
1.5952895758733 |
Real period |
R |
0.6932192012239 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90850i1 |
Quadratic twists by: 5 |