Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070i |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-192786750 = -1 · 2 · 33 · 53 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-849,9466] |
[a1,a2,a3,a4,a6] |
j |
-2365581049/6750 |
j-invariant |
L |
1.7973824456476 |
L(r)(E,1)/r! |
Ω |
1.7973824456476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40560bj1 15210bp1 25350bz1 5070u1 |
Quadratic twists by: -4 -3 5 13 |