Atkin-Lehner |
2+ 3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320t |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-154407600 = -1 · 24 · 33 · 52 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,105,468] |
[a1,a2,a3,a4,a6] |
Generators |
[12:60:1] |
Generators of the group modulo torsion |
j |
7925540864/9650475 |
j-invariant |
L |
8.3791387774595 |
L(r)(E,1)/r! |
Ω |
1.2215549080137 |
Real period |
R |
2.2864680435158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59160c1 |
Quadratic twists by: -4 |