Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bi |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-4870103884800 = -1 · 210 · 3 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,106800] |
[a1,a2,a3,a4,a6] |
Generators |
[30:330:1] |
Generators of the group modulo torsion |
j |
-9604/825 |
j-invariant |
L |
7.2599253157833 |
L(r)(E,1)/r! |
Ω |
0.63360323484467 |
Real period |
R |
2.8645392538451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999524515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680dd1 129360ce1 |
Quadratic twists by: -4 -7 |