Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cy |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-1562042880000000 = -1 · 215 · 39 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6075,1910250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-1350:1] |
Generators of the group modulo torsion |
j |
-19683/1240 |
j-invariant |
L |
4.1695343013107 |
L(r)(E,1)/r! |
Ω |
0.39320580848221 |
Real period |
R |
1.3254936231743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999921825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bu1 111600cx1 22320w1 |
Quadratic twists by: -4 -3 5 |