Atkin-Lehner |
2- 3- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81252g |
Isogeny class |
Conductor |
81252 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1567323779328 = -1 · 28 · 36 · 37 · 613 |
Discriminant |
Eigenvalues |
2- 3- -2 0 1 0 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1329,-57274] |
[a1,a2,a3,a4,a6] |
j |
1391012912/8398297 |
j-invariant |
L |
0.84628789067388 |
L(r)(E,1)/r! |
Ω |
0.42314396346635 |
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 |
9028c1 |
Quadratic twists by: -3 |