Atkin-Lehner |
2+ 3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390k |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
77266042243290000 = 24 · 314 · 54 · 312 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-753615,251642781] |
[a1,a2,a3,a4,a6] |
Generators |
[-990:5661:1] |
Generators of the group modulo torsion |
j |
64929956251377965041/105989084010000 |
j-invariant |
L |
5.0327958450295 |
L(r)(E,1)/r! |
Ω |
0.34365147178999 |
Real period |
R |
3.6612645883156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751243 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38130be2 |
Quadratic twists by: -3 |