Atkin-Lehner |
2+ 3+ 13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91494d |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
7467879011254272 = 216 · 33 · 133 · 174 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77142,-7102732] |
[a1,a2,a3,a4,a6] |
Generators |
[-1586:5655:8] [-143:1066:1] |
Generators of the group modulo torsion |
j |
1880337457684546875/276588111527936 |
j-invariant |
L |
7.0753137173128 |
L(r)(E,1)/r! |
Ω |
0.28928541388179 |
Real period |
R |
2.0381583316448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494p1 |
Quadratic twists by: -3 |