Atkin-Lehner |
2+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
63602f |
Isogeny class |
Conductor |
63602 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
-163726007787496 = -1 · 23 · 77 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 11+ 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37739,2897677] |
[a1,a2,a3,a4,a6] |
Generators |
[123:263:1] |
Generators of the group modulo torsion |
j |
-50525789641209/1391648104 |
j-invariant |
L |
4.9221152909731 |
L(r)(E,1)/r! |
Ω |
0.57256834255331 |
Real period |
R |
0.71637958957391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086a1 |
Quadratic twists by: -7 |