Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830m |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
803416320 = 28 · 37 · 5 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-855,-9315] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:18:1] |
Generators of the group modulo torsion |
j |
94881210481/1102080 |
j-invariant |
L |
4.3734162000916 |
L(r)(E,1)/r! |
Ω |
0.88346457162989 |
Real period |
R |
2.4751508665612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610t1 129150cq1 |
Quadratic twists by: -3 5 |