Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352g |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-790272 = -1 · 28 · 32 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
2000/9 |
j-invariant |
L |
3.6198836888353 |
L(r)(E,1)/r! |
Ω |
1.4297611127089 |
Real period |
R |
1.2659050720637 |
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 |
1176g1 9408bu1 7056r1 58800s1 |
Quadratic twists by: -4 8 -3 5 |