Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472bh |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-484322067522965504 = -1 · 212 · 78 · 295 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -3 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,181039,15498337] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:3724:1] [89:5684:1] |
Generators of the group modulo torsion |
j |
1361725440704/1005046301 |
j-invariant |
L |
7.0957909346985 |
L(r)(E,1)/r! |
Ω |
0.18813419767584 |
Real period |
R |
0.94291615006189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472r1 90944q1 6496i1 |
Quadratic twists by: -4 8 -7 |