Atkin-Lehner |
2- 5+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104650y |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
680225000000 = 26 · 58 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13838,619531] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:987:1] |
Generators of the group modulo torsion |
j |
18755369578009/43534400 |
j-invariant |
L |
14.554680694051 |
L(r)(E,1)/r! |
Ω |
0.9088851041305 |
Real period |
R |
1.3344811689555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20930b1 |
Quadratic twists by: 5 |