Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690i |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
13708800 |
Modular degree for the optimal curve |
Δ |
7.1314650796411E+22 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66606994,208831467172] |
[a1,a2,a3,a4,a6] |
Generators |
[7490:357016:1] |
Generators of the group modulo torsion |
j |
18447057201893947212529/40255261205463040 |
j-invariant |
L |
4.5623676231664 |
L(r)(E,1)/r! |
Ω |
0.10963755847131 |
Real period |
R |
2.0806590688484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790h1 |
Quadratic twists by: -11 |