Atkin-Lehner |
2+ 3- 5+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
107010j |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
160874553600 = 28 · 36 · 52 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6705,212125] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-265:1] [-75:575:1] |
Generators of the group modulo torsion |
j |
45732923416081/220678400 |
j-invariant |
L |
7.702451084802 |
L(r)(E,1)/r! |
Ω |
1.0279080983791 |
Real period |
R |
1.8733316471909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11890d1 |
Quadratic twists by: -3 |