Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
13356c |
Isogeny class |
Conductor |
13356 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
14564593628928 = 28 · 310 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17895,-902914] |
[a1,a2,a3,a4,a6] |
j |
3395872114000/78042447 |
j-invariant |
L |
2.4801367778124 |
L(r)(E,1)/r! |
Ω |
0.4133561296354 |
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 |
53424bo2 4452a2 93492t2 |
Quadratic twists by: -4 -3 -7 |