Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888bc |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-3511009610639112384 = -1 · 26 · 316 · 11 · 415 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- -2 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9914853,12016825504] |
[a1,a2,a3,a4,a6] |
j |
-2310335485704371030464/75253120941339 |
j-invariant |
L |
0.93377135469483 |
L(r)(E,1)/r! |
Ω |
0.2334426108379 |
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 |
129888p1 43296l1 |
Quadratic twists by: -4 -3 |