Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6348d |
Isogeny class |
Conductor |
6348 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
-60142836695808 = -1 · 28 · 3 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 0 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32445,2291001] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:1587:1] |
Generators of the group modulo torsion |
j |
-188416/3 |
j-invariant |
L |
2.8077803978497 |
L(r)(E,1)/r! |
Ω |
0.62554311797761 |
Real period |
R |
1.4961827128865 |
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 |
25392bi1 101568bs1 19044l1 6348c1 |
Quadratic twists by: -4 8 -3 -23 |