Atkin-Lehner |
3+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114513d |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7584 |
Modular degree for the optimal curve |
Δ |
-114513 = -1 · 3 · 72 · 19 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 0 -2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[14:46:1] |
Generators of the group modulo torsion |
j |
-1164625/2337 |
j-invariant |
L |
3.7227585529946 |
L(r)(E,1)/r! |
Ω |
1.3326433784281 |
Real period |
R |
2.7935144584224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114513j1 |
Quadratic twists by: -7 |