Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800bu |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
588800000000 = 216 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 5 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8833,314463] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-400:1] |
Generators of the group modulo torsion |
j |
2977540/23 |
j-invariant |
L |
3.9435655170129 |
L(r)(E,1)/r! |
Ω |
0.92256128323566 |
Real period |
R |
0.35621531677399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800dg1 4600o1 36800l1 |
Quadratic twists by: -4 8 5 |