Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800g |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
675000000 = 26 · 33 · 58 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22508,1307262] |
[a1,a2,a3,a4,a6] |
Generators |
[283:4186:1] |
Generators of the group modulo torsion |
j |
1261112198464/675 |
j-invariant |
L |
3.6153846583844 |
L(r)(E,1)/r! |
Ω |
1.3243330112388 |
Real period |
R |
5.4599328532972 |
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 |
4800z1 2400l3 14400br1 960h1 |
Quadratic twists by: -4 8 -3 5 |