Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32368p |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
12500557334272 = 28 · 7 · 178 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -6 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8188,-226180] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2312:1] |
Generators of the group modulo torsion |
j |
34000/7 |
j-invariant |
L |
2.618700916327 |
L(r)(E,1)/r! |
Ω |
0.50914873572707 |
Real period |
R |
1.7144308611427 |
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 |
8092g1 129472ck1 32368x1 |
Quadratic twists by: -4 8 17 |