Atkin-Lehner |
3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90459b |
Isogeny class |
Conductor |
90459 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102912 |
Modular degree for the optimal curve |
Δ |
-5156163 = -1 · 33 · 192 · 232 |
Discriminant |
Eigenvalues |
0 3+ -4 -1 2 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17802,914221] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-1:1] [610:91:8] |
Generators of the group modulo torsion |
j |
-43682819899392/361 |
j-invariant |
L |
7.424998607289 |
L(r)(E,1)/r! |
Ω |
1.6786795798184 |
Real period |
R |
1.1057796104053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90459a1 90459e1 |
Quadratic twists by: -3 -23 |