Atkin-Lehner |
5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
18025c |
Isogeny class |
Conductor |
18025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
2760078125 = 57 · 73 · 103 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -2 -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1783,-28282] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:10:1] |
Generators of the group modulo torsion |
j |
40142209024/176645 |
j-invariant |
L |
5.7234486391623 |
L(r)(E,1)/r! |
Ω |
0.7348630481363 |
Real period |
R |
1.2980760278344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3605a1 126175a1 |
Quadratic twists by: 5 -7 |