Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800dt |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
-696000000000 = -1 · 212 · 3 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-279333,56730963] |
[a1,a2,a3,a4,a6] |
Generators |
[104594:1875:343] |
Generators of the group modulo torsion |
j |
-301302001664/87 |
j-invariant |
L |
6.1424443834991 |
L(r)(E,1)/r! |
Ω |
0.72598811068647 |
Real period |
R |
4.2304028764949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2175f1 104400fq1 34800co1 |
Quadratic twists by: -4 -3 5 |