Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322n |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
522677454372864 = 226 · 33 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 6 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24088,925670] |
[a1,a2,a3,a4,a6] |
j |
1837824455085361/621495189504 |
j-invariant |
L |
2.8786619533033 |
L(r)(E,1)/r! |
Ω |
0.47977699221598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966bs1 35322v1 |
Quadratic twists by: -3 29 |