Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
3038k |
Isogeny class |
Conductor |
3038 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-182997842944 = -1 · 210 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 2 2 7- -2 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1028,-15779] |
[a1,a2,a3,a4,a6] |
j |
1021147343/1555456 |
j-invariant |
L |
5.350736831059 |
L(r)(E,1)/r! |
Ω |
0.5350736831059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24304q1 97216bc1 27342r1 75950bi1 |
Quadratic twists by: -4 8 -3 5 |