Atkin-Lehner |
2+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690p |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-29614750 = -1 · 2 · 53 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11+ 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58,306] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-33:1] |
Generators of the group modulo torsion |
j |
-15813251/22250 |
j-invariant |
L |
3.593175785666 |
L(r)(E,1)/r! |
Ω |
1.8854493369227 |
Real period |
R |
0.3176232946739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107690bg1 |
Quadratic twists by: -11 |