Atkin-Lehner |
2- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
14212d |
Isogeny class |
Conductor |
14212 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
-4994437888 = -1 · 28 · 11 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 1 11- 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,-3404] |
[a1,a2,a3,a4,a6] |
j |
-75866112/19509523 |
j-invariant |
L |
1.2207790264197 |
L(r)(E,1)/r! |
Ω |
0.61038951320984 |
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 |
56848c1 127908f1 |
Quadratic twists by: -4 -3 |