Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6175g |
Isogeny class |
Conductor |
6175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
1833203125 = 58 · 13 · 192 |
Discriminant |
Eigenvalues |
-2 -1 5- 2 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-458,3318] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-238:1] |
Generators of the group modulo torsion |
j |
27258880/4693 |
j-invariant |
L |
1.6640195269612 |
L(r)(E,1)/r! |
Ω |
1.4159363505351 |
Real period |
R |
0.1958679764963 |
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 |
98800ck1 55575bd1 6175d1 80275v1 |
Quadratic twists by: -4 -3 5 13 |