Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800fe |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
2729376000000000 = 214 · 38 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55875,-4418750] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:54:1] |
Generators of the group modulo torsion |
j |
3307949/468 |
j-invariant |
L |
5.0731942702393 |
L(r)(E,1)/r! |
Ω |
0.31344761560137 |
Real period |
R |
4.0462855814756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5850y1 15600ct1 46800em1 |
Quadratic twists by: -4 -3 5 |