Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800d |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
352451250000 = 24 · 34 · 57 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2883,53262] |
[a1,a2,a3,a4,a6] |
Generators |
[102:900:1] |
Generators of the group modulo torsion |
j |
10603964416/1409805 |
j-invariant |
L |
5.83961552596 |
L(r)(E,1)/r! |
Ω |
0.92228649167424 |
Real period |
R |
1.582917991666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35400g1 14160j1 |
Quadratic twists by: -4 5 |