Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352bl |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-55258640805888 = -1 · 212 · 38 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1560,-358956] |
[a1,a2,a3,a4,a6] |
Generators |
[294:-4968:1] |
Generators of the group modulo torsion |
j |
-102568953241/13490879103 |
j-invariant |
L |
3.9919160680233 |
L(r)(E,1)/r! |
Ω |
0.27910452548075 |
Real period |
R |
0.297970511014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
897a1 57408cj1 43056bs1 |
Quadratic twists by: -4 8 -3 |