Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800d |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-3132784687500000000 = -1 · 28 · 33 · 513 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41700,-85094500] |
[a1,a2,a3,a4,a6] |
Generators |
[34660:628125:64] |
Generators of the group modulo torsion |
j |
74251994112/29007265625 |
j-invariant |
L |
4.3114813086314 |
L(r)(E,1)/r! |
Ω |
0.11834657385559 |
Real period |
R |
4.5538721233718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23400ba1 46800c1 9360h1 |
Quadratic twists by: -4 -3 5 |