Atkin-Lehner |
2+ 3+ 5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
40170f |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26432 |
Modular degree for the optimal curve |
Δ |
-1903455450 = -1 · 2 · 37 · 52 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 1 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52,-2126] |
[a1,a2,a3,a4,a6] |
Generators |
[23:86:1] |
Generators of the group modulo torsion |
j |
-16022066761/1903455450 |
j-invariant |
L |
3.6509993981418 |
L(r)(E,1)/r! |
Ω |
0.65641584923302 |
Real period |
R |
1.3905055013544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510ba1 |
Quadratic twists by: -3 |