Atkin-Lehner |
2+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4730a |
Isogeny class |
Conductor |
4730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-416240 = -1 · 24 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
-116930169/416240 |
j-invariant |
L |
2.4616795998809 |
L(r)(E,1)/r! |
Ω |
2.6149487574286 |
Real period |
R |
0.94138731892458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37840i1 42570ba1 23650m1 52030s1 |
Quadratic twists by: -4 -3 5 -11 |