Atkin-Lehner |
2- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3038f |
Isogeny class |
Conductor |
3038 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-357417662 = -1 · 2 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 1 4 7+ 4 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-736,7678] |
[a1,a2,a3,a4,a6] |
j |
-7649089/62 |
j-invariant |
L |
5.1305966242058 |
L(r)(E,1)/r! |
Ω |
1.7101988747353 |
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 |
24304i1 97216a1 27342e1 75950c1 |
Quadratic twists by: -4 8 -3 5 |