Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800x |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-50847750000000000 = -1 · 210 · 38 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54075,11879750] |
[a1,a2,a3,a4,a6] |
Generators |
[335:5600:1] |
Generators of the group modulo torsion |
j |
-1499221444/4359375 |
j-invariant |
L |
4.3743650245571 |
L(r)(E,1)/r! |
Ω |
0.31338484366706 |
Real period |
R |
3.4896111865516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600bd1 18600u1 11160n1 |
Quadratic twists by: -4 -3 5 |