Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025ci |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
237016125 = 38 · 53 · 172 |
Discriminant |
Eigenvalues |
2 3- 5- -2 3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-255,1381] |
[a1,a2,a3,a4,a6] |
Generators |
[50:41:8] |
Generators of the group modulo torsion |
j |
69632/9 |
j-invariant |
L |
13.096569738407 |
L(r)(E,1)/r! |
Ω |
1.6968337303665 |
Real period |
R |
1.9295599656254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21675l1 65025cj1 65025cm1 |
Quadratic twists by: -3 5 17 |