Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430f |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
965120 |
Modular degree for the optimal curve |
Δ |
-1.6332492492389E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2916897,323644293] |
[a1,a2,a3,a4,a6] |
Generators |
[33344087857476451:82988605112231449508:4466121014233241] |
Generators of the group modulo torsion |
j |
2744648673908185904742791/1633249249238918062080 |
j-invariant |
L |
2.8831119668739 |
L(r)(E,1)/r! |
Ω |
0.09152462252422 |
Real period |
R |
31.500943542389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52290cn1 87150cm1 122010bd1 |
Quadratic twists by: -3 5 -7 |