Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675ba |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
306336639603515625 = 311 · 59 · 134 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1129950792,-14619382137509] |
[a1,a2,a3,a4,a6] |
Generators |
[-94801906266658468290457151442099062007924:47378413386660748411973985943683762889387:4884877599932436663268778249160165824] |
Generators of the group modulo torsion |
j |
14007310336277804358074809/26893751625 |
j-invariant |
L |
6.1033476626877 |
L(r)(E,1)/r! |
Ω |
0.026039621781844 |
Real period |
R |
58.596738766266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30225h4 18135u3 |
Quadratic twists by: -3 5 |