Atkin-Lehner |
3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43725f |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-3084492675 = -1 · 3 · 52 · 114 · 532 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 11- -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11533,-472902] |
[a1,a2,a3,a4,a6] |
Generators |
[306:4955:1] |
Generators of the group modulo torsion |
j |
-6786537226240000/123379707 |
j-invariant |
L |
3.9133355021848 |
L(r)(E,1)/r! |
Ω |
0.23034584046862 |
Real period |
R |
2.1236195833968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43725s1 |
Quadratic twists by: 5 |