Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830t |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
58106281927680 = 210 · 39 · 5 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12773,-414179] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:152:1] |
Generators of the group modulo torsion |
j |
11707907427243/2952104960 |
j-invariant |
L |
7.2116685702523 |
L(r)(E,1)/r! |
Ω |
0.45740941951627 |
Real period |
R |
1.5766331567633 |
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 |
25830g1 129150m1 |
Quadratic twists by: -3 5 |