Atkin-Lehner |
2- 17+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
118864f |
Isogeny class |
Conductor |
118864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
76543273467904 = 221 · 174 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 -1 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1069792,-426246284] |
[a1,a2,a3,a4,a6] |
Generators |
[-74670:1664:125] |
Generators of the group modulo torsion |
j |
33056906374540465633/18687322624 |
j-invariant |
L |
4.5444589415057 |
L(r)(E,1)/r! |
Ω |
0.14844811904381 |
Real period |
R |
3.826639069103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999229003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14858b1 |
Quadratic twists by: -4 |