Atkin-Lehner |
5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6175d |
Isogeny class |
Conductor |
6175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
117325 = 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2 1 5+ -2 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18,19] |
[a1,a2,a3,a4,a6] |
Generators |
[26:15:8] |
Generators of the group modulo torsion |
j |
27258880/4693 |
j-invariant |
L |
8.2808531033673 |
L(r)(E,1)/r! |
Ω |
3.1661299316095 |
Real period |
R |
1.3077247747628 |
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 |
98800bv1 55575z1 6175g1 80275g1 |
Quadratic twists by: -4 -3 5 13 |