Atkin-Lehner |
11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92191d |
Isogeny class |
Conductor |
92191 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1162512 |
Modular degree for the optimal curve |
Δ |
3608658541247309 = 116 · 174 · 293 |
Discriminant |
Eigenvalues |
2 0 1 -5 11- 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-665567,-208974961] |
[a1,a2,a3,a4,a6] |
Generators |
[-112393538:33175317:238328] |
Generators of the group modulo torsion |
j |
390394210742194176/43206601229 |
j-invariant |
L |
9.7209855778797 |
L(r)(E,1)/r! |
Ω |
0.16714927361742 |
Real period |
R |
9.6929183600767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92191a1 |
Quadratic twists by: 17 |