Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bz |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-9.5666765824E+18 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50408,148859188] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:12250:1] |
Generators of the group modulo torsion |
j |
-221335335649/149479321600 |
j-invariant |
L |
3.9975521203094 |
L(r)(E,1)/r! |
Ω |
0.18609421764627 |
Real period |
R |
2.6851668039563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850i1 17360s1 |
Quadratic twists by: -4 5 |