Atkin-Lehner |
5+ 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925f |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-2334921875 = -1 · 57 · 112 · 13 · 19 |
Discriminant |
Eigenvalues |
1 1 5+ -1 11+ 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,2323] |
[a1,a2,a3,a4,a6] |
Generators |
[7:46:1] [206:993:8] |
Generators of the group modulo torsion |
j |
-117649/149435 |
j-invariant |
L |
13.641793790509 |
L(r)(E,1)/r! |
Ω |
1.1729607979485 |
Real period |
R |
1.4537776767959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13585c1 |
Quadratic twists by: 5 |