Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368ba |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2640802155264 = -1 · 28 · 34 · 73 · 135 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1981,-85897] |
[a1,a2,a3,a4,a6] |
Generators |
[371:7098:1] |
Generators of the group modulo torsion |
j |
-3360132358144/10315633419 |
j-invariant |
L |
4.1946862457067 |
L(r)(E,1)/r! |
Ω |
0.33040203142276 |
Real period |
R |
0.10579752964501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1092b1 17472cc1 13104ci1 109200cw1 |
Quadratic twists by: -4 8 -3 5 |