Atkin-Lehner |
3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13467b |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2380 |
Modular degree for the optimal curve |
Δ |
902289 = 3 · 673 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 -4 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26,15] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
6859/3 |
j-invariant |
L |
2.3135971549138 |
L(r)(E,1)/r! |
Ω |
2.5220555046666 |
Real period |
R |
1.8346917033609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40401j1 13467g1 |
Quadratic twists by: -3 -67 |