Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680d |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
172901123932626000 = 24 · 36 · 53 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160491,-14513184] |
[a1,a2,a3,a4,a6] |
Generators |
[-746629:1790257:2197] |
Generators of the group modulo torsion |
j |
240945152/91125 |
j-invariant |
L |
5.3518984521966 |
L(r)(E,1)/r! |
Ω |
0.24621507590152 |
Real period |
R |
10.868340276486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360bf1 104040cx1 34680ba1 |
Quadratic twists by: -4 -3 17 |