Atkin-Lehner |
2- 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650bv |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
14372044800000000 = 224 · 3 · 58 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62688,-1822719] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:2117:1] |
Generators of the group modulo torsion |
j |
1743642162605881/919810867200 |
j-invariant |
L |
10.647586073947 |
L(r)(E,1)/r! |
Ω |
0.32011701570559 |
Real period |
R |
2.7717953024384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21930s1 |
Quadratic twists by: 5 |