Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3364b |
Isogeny class |
Conductor |
3364 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6300 |
Modular degree for the optimal curve |
Δ |
275998020944 = 24 · 297 |
Discriminant |
Eigenvalues |
2- -2 -2 4 6 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7849,263856] |
[a1,a2,a3,a4,a6] |
j |
5619712/29 |
j-invariant |
L |
1.4741822912077 |
L(r)(E,1)/r! |
Ω |
0.98278819413847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13456g1 53824f1 30276j1 84100d1 |
Quadratic twists by: -4 8 -3 5 |