Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650bc |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-223200 = -1 · 25 · 32 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12,21] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
7604375/8928 |
j-invariant |
L |
4.58227098008 |
L(r)(E,1)/r! |
Ω |
2.1007929734506 |
Real period |
R |
0.21812101611105 |
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 |
37200cp1 13950w1 4650u1 |
Quadratic twists by: -4 -3 5 |