Atkin-Lehner |
3+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94221f |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
20297145577473 = 33 · 197 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 4 -4 6 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10898,-377736] |
[a1,a2,a3,a4,a6] |
Generators |
[-9630:6072:125] |
Generators of the group modulo torsion |
j |
112678587/15979 |
j-invariant |
L |
5.6263941384502 |
L(r)(E,1)/r! |
Ω |
0.47167884935184 |
Real period |
R |
5.9642213756243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94221c1 4959a1 |
Quadratic twists by: -3 -19 |