Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bh |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-5078710687120560 = -1 · 24 · 322 · 5 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10662,-3402457] |
[a1,a2,a3,a4,a6] |
Generators |
[55973169:-798632540:250047] |
Generators of the group modulo torsion |
j |
11491910518784/435417582915 |
j-invariant |
L |
5.8433555893338 |
L(r)(E,1)/r! |
Ω |
0.20733367970732 |
Real period |
R |
14.091669992635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840k1 28560bc1 |
Quadratic twists by: -4 -3 |