Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648o |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
33638181282048 = 28 · 3 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336572,-75268032] |
[a1,a2,a3,a4,a6] |
Generators |
[666480756:37318533840:205379] |
Generators of the group modulo torsion |
j |
350104249168/2793 |
j-invariant |
L |
8.7147167468281 |
L(r)(E,1)/r! |
Ω |
0.19821209835289 |
Real period |
R |
10.991655932479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296r1 3192j1 |
Quadratic twists by: -4 -19 |