Atkin-Lehner |
2- 3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350ch |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1389625344000 = -1 · 221 · 32 · 53 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -6 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-110953,14179031] |
[a1,a2,a3,a4,a6] |
Generators |
[-385:312:1] [191:-120:1] |
Generators of the group modulo torsion |
j |
-1208456694510502949/11117002752 |
j-invariant |
L |
13.0491102045 |
L(r)(E,1)/r! |
Ω |
0.77037750719687 |
Real period |
R |
0.20164990358516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350bn1 |
Quadratic twists by: 5 |