Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650r |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-62775000000 = -1 · 26 · 34 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,974,2948] |
[a1,a2,a3,a4,a6] |
Generators |
[22:176:1] |
Generators of the group modulo torsion |
j |
6549699311/4017600 |
j-invariant |
L |
3.2288814977709 |
L(r)(E,1)/r! |
Ω |
0.68200108587442 |
Real period |
R |
0.59180285131641 |
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 |
37200bg1 13950cn1 930m1 |
Quadratic twists by: -4 -3 5 |