Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368q |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
571453338809232 = 24 · 34 · 1110 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 7 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63444,-6063543] |
[a1,a2,a3,a4,a6] |
j |
68054272/1377 |
j-invariant |
L |
2.4094918686498 |
L(r)(E,1)/r! |
Ω |
0.3011864836803 |
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 |
98736s1 49368be1 |
Quadratic twists by: -4 -11 |