Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830y |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
1600 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-6605028468326400000 = -1 · 220 · 3 · 55 · 74 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,288380,108455045] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:5713:1] |
Generators of the group modulo torsion |
j |
2652277923951208297919/6605028468326400000 |
j-invariant |
L |
5.0578881623537 |
L(r)(E,1)/r! |
Ω |
0.16575857733038 |
Real period |
R |
0.30513583331935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640cu1 14490n1 24150x1 33810cx1 |
Quadratic twists by: -4 -3 5 -7 |