Atkin-Lehner |
2- 3- 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646bv |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-242729128452096 = -1 · 213 · 310 · 113 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 13+ -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6269,775109] |
[a1,a2,a3,a4,a6] |
Generators |
[591:13960:1] [-81:904:1] |
Generators of the group modulo torsion |
j |
-37370253593737/332961767424 |
j-invariant |
L |
12.205032979132 |
L(r)(E,1)/r! |
Ω |
0.47514954746032 |
Real period |
R |
0.16465845607835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882m1 |
Quadratic twists by: -3 |