Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850o |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
91728 |
Modular degree for the optimal curve |
Δ |
-4711653468800 = -1 · 27 · 52 · 176 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-723,104401] |
[a1,a2,a3,a4,a6] |
Generators |
[289:4768:1] |
Generators of the group modulo torsion |
j |
-1671999478105/188466138752 |
j-invariant |
L |
8.154387596637 |
L(r)(E,1)/r! |
Ω |
0.63342637033246 |
Real period |
R |
0.91953269422506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850l1 |
Quadratic twists by: 5 |