Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63650g |
Isogeny class |
Conductor |
63650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
-60467500000 = -1 · 25 · 57 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-316446338,2166565362031] |
[a1,a2,a3,a4,a6] |
Generators |
[82150:-39279:8] |
Generators of the group modulo torsion |
j |
-224286900343878368247461209/3869920 |
j-invariant |
L |
15.129877884699 |
L(r)(E,1)/r! |
Ω |
0.25924803114227 |
Real period |
R |
2.9180313960091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12730c1 |
Quadratic twists by: 5 |