Atkin-Lehner |
2+ 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650p |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6936139026000 = 24 · 36 · 53 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5765,-113475] |
[a1,a2,a3,a4,a6] |
Generators |
[134:-1309:1] |
Generators of the group modulo torsion |
j |
169562314673549/55489112208 |
j-invariant |
L |
2.1222604256463 |
L(r)(E,1)/r! |
Ω |
0.56219275713928 |
Real period |
R |
0.47187116849468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650cl2 |
Quadratic twists by: 5 |