Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360el |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
338124355430400000 = 214 · 36 · 55 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3916096,-2981391104] |
[a1,a2,a3,a4,a6] |
j |
13782741913468081/701662500 |
j-invariant |
L |
0.85857373409721 |
L(r)(E,1)/r! |
Ω |
0.10732169907433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170by1 18480de1 |
Quadratic twists by: -4 -7 |