Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
3038m |
Isogeny class |
Conductor |
3038 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-204238664 = -1 · 23 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3 3 7- 4 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-115821,15200413] |
[a1,a2,a3,a4,a6] |
j |
-1460474194254993/1736 |
j-invariant |
L |
6.7857279646728 |
L(r)(E,1)/r! |
Ω |
1.1309546607788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24304t1 97216bf1 27342t1 75950bl1 |
Quadratic twists by: -4 8 -3 5 |