Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bw |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2246516015625 = 36 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36605,2703772] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1105:1] [134:-505:1] |
Generators of the group modulo torsion |
j |
476196576129/197225 |
j-invariant |
L |
5.6992587769668 |
L(r)(E,1)/r! |
Ω |
0.80735729954293 |
Real period |
R |
1.1765255152403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4025b1 7245m1 |
Quadratic twists by: -3 5 |