Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900c |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-187603593750000 = -1 · 24 · 39 · 510 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 3 3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-253125,-49021875] |
[a1,a2,a3,a4,a6] |
Generators |
[72620:8893:125] |
Generators of the group modulo torsion |
j |
-583200000/61 |
j-invariant |
L |
6.3783347653181 |
L(r)(E,1)/r! |
Ω |
0.10642240607494 |
Real period |
R |
9.9890223632434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54900d1 54900g1 |
Quadratic twists by: -3 5 |