Atkin-Lehner |
5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36425g |
Isogeny class |
Conductor |
36425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-2845703125 = -1 · 59 · 31 · 47 |
Discriminant |
Eigenvalues |
1 0 5+ -1 6 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,208,2241] |
[a1,a2,a3,a4,a6] |
Generators |
[142:779:8] |
Generators of the group modulo torsion |
j |
63521199/182125 |
j-invariant |
L |
6.4625886126187 |
L(r)(E,1)/r! |
Ω |
1.006509898643 |
Real period |
R |
3.210394960512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7285f1 |
Quadratic twists by: 5 |