Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800q |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1075000000 = -1 · 26 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 1 -7 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,217,1063] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:25:1] |
Generators of the group modulo torsion |
j |
1124864/1075 |
j-invariant |
L |
2.5012210664782 |
L(r)(E,1)/r! |
Ω |
1.0185598457075 |
Real period |
R |
1.2278223400603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bf1 34400h1 13760c1 |
Quadratic twists by: -4 8 5 |