Atkin-Lehner |
2- 3- 5- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
34410q |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
30311631360 = 29 · 32 · 5 · 312 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13725,-619983] |
[a1,a2,a3,a4,a6] |
j |
285931991526296401/30311631360 |
j-invariant |
L |
7.9395624531683 |
L(r)(E,1)/r! |
Ω |
0.44108680295495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103230k2 |
Quadratic twists by: -3 |