Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515h |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
104332025 = 52 · 73 · 233 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-126,-245] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:21:1] |
Generators of the group modulo torsion |
j |
18191447/8575 |
j-invariant |
L |
1.8815785085899 |
L(r)(E,1)/r! |
Ω |
1.4919623902864 |
Real period |
R |
0.42038113043601 |
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 |
92575f1 129605ba1 18515k1 |
Quadratic twists by: 5 -7 -23 |