Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3312h |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-268272 = -1 · 24 · 36 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 -4 -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
-256/23 |
j-invariant |
L |
3.9125868434446 |
L(r)(E,1)/r! |
Ω |
2.5497957261293 |
Real period |
R |
1.5344707042019 |
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 |
1656b1 13248bt1 368d1 82800s1 |
Quadratic twists by: -4 8 -3 5 |