Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800ch |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
2.0066087206912E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 3 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3036033,-1919703937] |
[a1,a2,a3,a4,a6] |
Generators |
[-5498210671483:47150250973400:4991443829] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
9.000729507374 |
L(r)(E,1)/r! |
Ω |
0.1148381970867 |
Real period |
R |
19.594372203046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800q1 29200v1 23360o1 |
Quadratic twists by: -4 8 5 |