Atkin-Lehner |
3- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415f |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.7963344808931E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42311295,105088634896] |
[a1,a2,a3,a4,a6] |
Generators |
[4043190:7946083:1000] |
Generators of the group modulo torsion |
j |
11491193634456258489377521/106945603304432040225 |
j-invariant |
L |
6.9203670663966 |
L(r)(E,1)/r! |
Ω |
0.10913795525105 |
Real period |
R |
7.9261690571285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934156 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35805g2 |
Quadratic twists by: -3 |