Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63426a |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-367804142550206604 = -1 · 22 · 34 · 113 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 11+ 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25447,-29126271] |
[a1,a2,a3,a4,a6] |
Generators |
[400:6527:1] |
Generators of the group modulo torsion |
j |
2136551/431244 |
j-invariant |
L |
2.5740276446134 |
L(r)(E,1)/r! |
Ω |
0.14223115677573 |
Real period |
R |
1.5081245812576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63426p1 |
Quadratic twists by: -31 |