Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690k |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
7631176163600 = 24 · 52 · 118 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7384,204246] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:693:1] |
Generators of the group modulo torsion |
j |
25128011089/4307600 |
j-invariant |
L |
3.4234941782803 |
L(r)(E,1)/r! |
Ω |
0.70713666323043 |
Real period |
R |
1.2103368050565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790j1 |
Quadratic twists by: -11 |