Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304eg |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
63353711551463424 = 214 · 34 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126289,12276431] |
[a1,a2,a3,a4,a6] |
j |
115562131792/32867289 |
j-invariant |
L |
2.6023012093581 |
L(r)(E,1)/r! |
Ω |
0.32528762363151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304gh2 15288u2 17472h2 |
Quadratic twists by: -4 8 -7 |