Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360eu |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
35064747970560 = 212 · 33 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12805,483757] |
[a1,a2,a3,a4,a6] |
j |
9834496/1485 |
j-invariant |
L |
0.62578928161289 |
L(r)(E,1)/r! |
Ω |
0.62578917107308 |
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 |
8085s1 129360gv1 |
Quadratic twists by: -4 -7 |