Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6175f |
Isogeny class |
Conductor |
6175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-81529296875 = -1 · 59 · 133 · 19 |
Discriminant |
Eigenvalues |
-1 -3 5- -1 2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1305,-22428] |
[a1,a2,a3,a4,a6] |
Generators |
[44:40:1] |
Generators of the group modulo torsion |
j |
-125751501/41743 |
j-invariant |
L |
1.383813513402 |
L(r)(E,1)/r! |
Ω |
0.3906067910301 |
Real period |
R |
1.7713638692157 |
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 |
98800cm1 55575ba1 6175j1 80275r1 |
Quadratic twists by: -4 -3 5 13 |