Atkin-Lehner |
2+ 3+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650i |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65088 |
Modular degree for the optimal curve |
Δ |
-3597068250 = -1 · 2 · 39 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 1 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-580,-6350] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1835:1] |
Generators of the group modulo torsion |
j |
-173088067517/28776546 |
j-invariant |
L |
4.1725535821944 |
L(r)(E,1)/r! |
Ω |
0.48192333069426 |
Real period |
R |
4.3290636378098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650dn1 |
Quadratic twists by: 5 |