Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680o |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
55648320 = 26 · 3 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1706,-27696] |
[a1,a2,a3,a4,a6] |
Generators |
[57:252:1] |
Generators of the group modulo torsion |
j |
8584902410176/869505 |
j-invariant |
L |
6.9069741971834 |
L(r)(E,1)/r! |
Ω |
0.74282451033121 |
Real period |
R |
3.0994194461436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680z1 87360bp1 |
Quadratic twists by: -4 8 |