Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830m |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-3332700 = -1 · 22 · 32 · 52 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
590589719/3332700 |
j-invariant |
L |
3.4203678120595 |
L(r)(E,1)/r! |
Ω |
1.2591083093302 |
Real period |
R |
0.67912501782292 |
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 |
38640ce1 14490bn1 24150bv1 33810g1 |
Quadratic twists by: -4 -3 5 -7 |