Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13160c |
Isogeny class |
Conductor |
13160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
8422400 = 210 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,304] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:20:1] |
Generators of the group modulo torsion |
j |
96550276/8225 |
j-invariant |
L |
3.4555730829165 |
L(r)(E,1)/r! |
Ω |
2.268677745036 |
Real period |
R |
1.5231661219746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26320a1 105280t1 118440cm1 65800g1 |
Quadratic twists by: -4 8 -3 5 |