Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345g |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1089090304870061025 = 32 · 52 · 74 · 1710 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-432061,-97277686] |
[a1,a2,a3,a4,a6] |
j |
369543396484081/45120132225 |
j-invariant |
L |
0.75081674229024 |
L(r)(E,1)/r! |
Ω |
0.18770418557272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91035br3 1785m3 |
Quadratic twists by: -3 17 |