Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bm |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-2919881250 = -1 · 2 · 33 · 55 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,69,2619] |
[a1,a2,a3,a4,a6] |
j |
27270901/2193750 |
j-invariant |
L |
2.1840594201417 |
L(r)(E,1)/r! |
Ω |
1.0920297101321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190a1 |
Quadratic twists by: -11 |