Atkin-Lehner |
5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17825h |
Isogeny class |
Conductor |
17825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
8633984375 = 58 · 23 · 312 |
Discriminant |
Eigenvalues |
1 2 5- -1 3 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6075,-184750] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:26:1] |
Generators of the group modulo torsion |
j |
63491300185/22103 |
j-invariant |
L |
8.3585298398857 |
L(r)(E,1)/r! |
Ω |
0.54077019791847 |
Real period |
R |
2.5761188615976 |
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 |
17825c1 |
Quadratic twists by: 5 |