Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170h |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-920515600 = -1 · 24 · 52 · 372 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73,1497] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:42:1] |
Generators of the group modulo torsion |
j |
-42472019169/920515600 |
j-invariant |
L |
5.8438007021062 |
L(r)(E,1)/r! |
Ω |
1.3206771011383 |
Real period |
R |
0.55310649903273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360m2 75850c2 |
Quadratic twists by: -4 5 |