Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360em |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-714652436841235200 = -1 · 28 · 33 · 52 · 710 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51221,-40899879] |
[a1,a2,a3,a4,a6] |
j |
-205520896/9882675 |
j-invariant |
L |
2.002262847102 |
L(r)(E,1)/r! |
Ω |
0.1251414875859 |
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 |
32340bd1 129360hd1 |
Quadratic twists by: -4 -7 |