Atkin-Lehner |
2- 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bw |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2007040 |
Modular degree for the optimal curve |
Δ |
74891684190538512 = 24 · 313 · 11 · 172 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1315121,580671825] |
[a1,a2,a3,a4,a6] |
Generators |
[-1251:16962:1] |
Generators of the group modulo torsion |
j |
345058724217607205833/102732077078928 |
j-invariant |
L |
5.9238948784283 |
L(r)(E,1)/r! |
Ω |
0.33717459084903 |
Real period |
R |
2.1961526156894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002247 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34782c1 |
Quadratic twists by: -3 |