Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bx |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-53224784076800 = -1 · 213 · 52 · 76 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 5 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37633,-2847489] |
[a1,a2,a3,a4,a6] |
Generators |
[1119:36288:1] |
Generators of the group modulo torsion |
j |
-2004023020585/18096128 |
j-invariant |
L |
9.907653315954 |
L(r)(E,1)/r! |
Ω |
0.17129446271872 |
Real period |
R |
1.1123056243618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150bc1 2350k1 |
Quadratic twists by: 5 -7 |