Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800f |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-144812800 = -1 · 28 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 11- -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-335,2430] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:44:1] [9:12:1] |
Generators of the group modulo torsion |
j |
-649648080/22627 |
j-invariant |
L |
11.180892635378 |
L(r)(E,1)/r! |
Ω |
1.8239062041356 |
Real period |
R |
1.0216984303767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400a1 74800v1 |
Quadratic twists by: -4 5 |