Atkin-Lehner |
5- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12395c |
Isogeny class |
Conductor |
12395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
103808125 = 54 · 37 · 672 |
Discriminant |
Eigenvalues |
0 -1 5- -3 5 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-385,2998] |
[a1,a2,a3,a4,a6] |
Generators |
[34:167:1] |
Generators of the group modulo torsion |
j |
6327518887936/103808125 |
j-invariant |
L |
2.8377687521449 |
L(r)(E,1)/r! |
Ω |
1.8893128082605 |
Real period |
R |
0.18775138371327 |
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 |
111555j1 61975b1 |
Quadratic twists by: -3 5 |