Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120bb |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6888609100800 = 210 · 311 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1771761603,-28704900244498] |
[a1,a2,a3,a4,a6] |
Generators |
[63505028:63201106703:64] |
Generators of the group modulo torsion |
j |
823971298046581356125126404/9227925 |
j-invariant |
L |
5.8199733596213 |
L(r)(E,1)/r! |
Ω |
0.023270099125265 |
Real period |
R |
15.631576515158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040d4 |
Quadratic twists by: -3 |