Atkin-Lehner |
2- 3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
129228d |
Isogeny class |
Conductor |
129228 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7862400 |
Modular degree for the optimal curve |
Δ |
-1.9113541005742E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11- 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7075636,7277130808] |
[a1,a2,a3,a4,a6] |
Generators |
[52186920953546211:187315255371712490:33845585045923] |
Generators of the group modulo torsion |
j |
-86382177207657424/421449047217 |
j-invariant |
L |
9.0581277355425 |
L(r)(E,1)/r! |
Ω |
0.18018870356462 |
Real period |
R |
25.135115454932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11748c1 |
Quadratic twists by: -11 |