Atkin-Lehner |
2- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4730j |
Isogeny class |
Conductor |
4730 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-52067840 = -1 · 29 · 5 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 1 5- -3 11- -4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35,-335] |
[a1,a2,a3,a4,a6] |
Generators |
[12:37:1] |
Generators of the group modulo torsion |
j |
4733169839/52067840 |
j-invariant |
L |
6.0834228733165 |
L(r)(E,1)/r! |
Ω |
0.98356986755239 |
Real period |
R |
0.34361355360296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37840t1 42570h1 23650e1 52030k1 |
Quadratic twists by: -4 -3 5 -11 |