Atkin-Lehner |
5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18425i |
Isogeny class |
Conductor |
18425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7440 |
Modular degree for the optimal curve |
Δ |
-3166796875 = -1 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
0 -2 5- 2 11- 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-833,9369] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:137:1] |
Generators of the group modulo torsion |
j |
-163840000/8107 |
j-invariant |
L |
2.8766807386667 |
L(r)(E,1)/r! |
Ω |
1.4030426775589 |
Real period |
R |
0.34171932005087 |
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 |
18425f1 |
Quadratic twists by: 5 |