Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54900m |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
277931250000 = 24 · 36 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114300,14873625] |
[a1,a2,a3,a4,a6] |
Generators |
[190:125:1] |
Generators of the group modulo torsion |
j |
906139090944/1525 |
j-invariant |
L |
6.1813511677636 |
L(r)(E,1)/r! |
Ω |
0.83486788094813 |
Real period |
R |
0.61699893966498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6100a1 10980g1 |
Quadratic twists by: -3 5 |