Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200s |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-717249612800 = -1 · 210 · 52 · 72 · 833 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,40768] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:154:1] |
Generators of the group modulo torsion |
j |
259557500/28017563 |
j-invariant |
L |
8.4203052977913 |
L(r)(E,1)/r! |
Ω |
0.69280543049486 |
Real period |
R |
3.0384812856059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999492799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200n1 |
Quadratic twists by: 5 |