Atkin-Lehner |
3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49197o |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-13725963 = -1 · 33 · 232 · 312 |
Discriminant |
Eigenvalues |
0 3- -2 3 -6 -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-889,9913] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:53:8] [23:46:1] |
Generators of the group modulo torsion |
j |
-147048890368/25947 |
j-invariant |
L |
8.7235659978904 |
L(r)(E,1)/r! |
Ω |
2.1636606218355 |
Real period |
R |
0.67197584114717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49197n1 |
Quadratic twists by: -23 |