Atkin-Lehner |
3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13005o |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
4044718332721125 = 318 · 53 · 174 |
Discriminant |
Eigenvalues |
0 3- 5- 2 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-39882,-187200] |
[a1,a2,a3,a4,a6] |
j |
115220905984/66430125 |
j-invariant |
L |
2.2091525069646 |
L(r)(E,1)/r! |
Ω |
0.36819208449409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4335e1 65025bx1 13005g1 |
Quadratic twists by: -3 5 17 |