Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1794h |
Isogeny class |
Conductor |
1794 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-45337968 = -1 · 24 · 36 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45,321] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:14:1] |
Generators of the group modulo torsion |
j |
10063705679/45337968 |
j-invariant |
L |
3.1507017442569 |
L(r)(E,1)/r! |
Ω |
1.4477115444309 |
Real period |
R |
0.54408313527254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14352ba1 57408bu1 5382d1 44850x1 |
Quadratic twists by: -4 8 -3 5 |