Atkin-Lehner |
3- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
14763g |
Isogeny class |
Conductor |
14763 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-1152001179 = -1 · 32 · 7 · 192 · 373 |
Discriminant |
Eigenvalues |
0 3- -1 7+ -3 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-301,-2693] |
[a1,a2,a3,a4,a6] |
Generators |
[23:55:1] |
Generators of the group modulo torsion |
j |
-3025974329344/1152001179 |
j-invariant |
L |
3.8352059332617 |
L(r)(E,1)/r! |
Ω |
0.56229810758863 |
Real period |
R |
0.56838266059449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44289d1 103341k1 |
Quadratic twists by: -3 -7 |