Atkin-Lehner |
2- 3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850cw |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
3960 |
Product of Tamagawa factors cp |
deg |
29145600 |
Modular degree for the optimal curve |
Δ |
7.7374562330678E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -5 -7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32886513,58973383017] |
[a1,a2,a3,a4,a6] |
Generators |
[-6348:112449:1] [-5598:-257301:1] |
Generators of the group modulo torsion |
j |
10069714549548323312305/1980788795665348608 |
j-invariant |
L |
19.712607968298 |
L(r)(E,1)/r! |
Ω |
0.085080923713644 |
Real period |
R |
0.058508195357899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850a1 |
Quadratic twists by: 5 |