Atkin-Lehner |
2- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57040h |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-1168179200 = -1 · 216 · 52 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 2 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1363,-19438] |
[a1,a2,a3,a4,a6] |
Generators |
[19446:165565:216] |
Generators of the group modulo torsion |
j |
-68367756969/285200 |
j-invariant |
L |
11.769795437783 |
L(r)(E,1)/r! |
Ω |
0.39276897911766 |
Real period |
R |
7.4915510538733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7130b1 |
Quadratic twists by: -4 |