Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23712o |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22505154048 = -1 · 29 · 34 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-304,-7400] |
[a1,a2,a3,a4,a6] |
j |
-6088387976/43955379 |
j-invariant |
L |
1.0126590280435 |
L(r)(E,1)/r! |
Ω |
0.50632951402178 |
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 |
23712q2 47424cw3 71136r2 |
Quadratic twists by: -4 8 -3 |