Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36260c |
Isogeny class |
Conductor |
36260 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
696482080000 = 28 · 54 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2221,-4145] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:50:1] |
Generators of the group modulo torsion |
j |
40247296/23125 |
j-invariant |
L |
6.0222382273387 |
L(r)(E,1)/r! |
Ω |
0.75571396573105 |
Real period |
R |
1.3281564411108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
740c1 |
Quadratic twists by: -7 |