Atkin-Lehner |
2+ 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57288f |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
708480 |
Modular degree for the optimal curve |
Δ |
-1510561805224141824 = -1 · 210 · 3 · 7 · 119 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223944,42886176] |
[a1,a2,a3,a4,a6] |
Generators |
[-4164:58564:27] |
Generators of the group modulo torsion |
j |
1212942209944596764/1475158012914201 |
j-invariant |
L |
6.9692754478854 |
L(r)(E,1)/r! |
Ω |
0.17961187599987 |
Real period |
R |
2.1556590686176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576k1 |
Quadratic twists by: -4 |