Atkin-Lehner |
2+ 3- 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010f |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-747593251849566450 = -1 · 2 · 36 · 52 · 298 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34215,41679575] |
[a1,a2,a3,a4,a6] |
Generators |
[3694:87299:8] |
Generators of the group modulo torsion |
j |
-6076492366390641/1025505146570050 |
j-invariant |
L |
5.4563566486815 |
L(r)(E,1)/r! |
Ω |
0.23257420448023 |
Real period |
R |
2.9325891216348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11890e4 |
Quadratic twists by: -3 |