Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cr |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
61751607120 = 24 · 38 · 5 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6762,-213689] |
[a1,a2,a3,a4,a6] |
Generators |
[95:36:1] [735:19796:1] |
Generators of the group modulo torsion |
j |
24918016/45 |
j-invariant |
L |
8.8770607210984 |
L(r)(E,1)/r! |
Ω |
0.52653576385831 |
Real period |
R |
16.859368974388 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640be1 11760x1 720c1 |
Quadratic twists by: -4 -3 -7 |