Atkin-Lehner |
2+ 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296d |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25092451252387584 = -1 · 28 · 32 · 1310 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-119972,-17677440] |
[a1,a2,a3,a4,a6] |
j |
-745979792632771408/98017387704639 |
j-invariant |
L |
2.2919317075103 |
L(r)(E,1)/r! |
Ω |
0.1273295393478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24648m2 |
Quadratic twists by: -4 |