Atkin-Lehner |
2- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14212c |
Isogeny class |
Conductor |
14212 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-39730839808 = -1 · 28 · 113 · 17 · 193 |
Discriminant |
Eigenvalues |
2- -2 0 2 11+ -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3268,-73644] |
[a1,a2,a3,a4,a6] |
j |
-15082133362000/155198593 |
j-invariant |
L |
0.9465483836994 |
L(r)(E,1)/r! |
Ω |
0.3155161278998 |
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 |
56848l2 127908i2 |
Quadratic twists by: -4 -3 |