Atkin-Lehner |
2+ 3- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270h |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-35895409459200000 = -1 · 217 · 38 · 55 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 3 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13680,-9132800] |
[a1,a2,a3,a4,a6] |
Generators |
[447:8374:1] |
Generators of the group modulo torsion |
j |
-388393840039681/49239244800000 |
j-invariant |
L |
3.1944634273077 |
L(r)(E,1)/r! |
Ω |
0.16263130866228 |
Real period |
R |
4.9105910996558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090g1 |
Quadratic twists by: -3 |