Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426m |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-25538680848384 = -1 · 228 · 32 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 11+ 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6112,-305362] |
[a1,a2,a3,a4,a6] |
Generators |
[4875157:-1578169:50653] |
Generators of the group modulo torsion |
j |
-26269282691257/26575110144 |
j-invariant |
L |
7.0704747324417 |
L(r)(E,1)/r! |
Ω |
0.25942685766724 |
Real period |
R |
6.8135531495203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63426d1 |
Quadratic twists by: -31 |