Atkin-Lehner |
2- 3- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646bz |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-2.3011550395653E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-273839,731995319] |
[a1,a2,a3,a4,a6] |
Generators |
[3003:-165770:1] [-117:27670:1] |
Generators of the group modulo torsion |
j |
-3115161720438843817/315659127512386944 |
j-invariant |
L |
13.175171555178 |
L(r)(E,1)/r! |
Ω |
0.14503355870353 |
Real period |
R |
0.36048503031992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882o1 |
Quadratic twists by: -3 |