Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914w |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
78162949392 = 24 · 3 · 11 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1069,-685] |
[a1,a2,a3,a4,a6] |
j |
912673/528 |
j-invariant |
L |
1.8299723001509 |
L(r)(E,1)/r! |
Ω |
0.91498615008223 |
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 |
104742k1 66b1 |
Quadratic twists by: -3 -23 |