Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400bc |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
1851930000 = 24 · 33 · 54 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,85725] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-285:1] |
Generators of the group modulo torsion |
j |
20329747200/6859 |
j-invariant |
L |
5.5004292723255 |
L(r)(E,1)/r! |
Ω |
1.4542945594563 |
Real period |
R |
0.21012208428132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200cg1 68400bd1 68400q1 |
Quadratic twists by: -4 -3 5 |