Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360cg |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-337001676906510000 = -1 · 24 · 312 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288871,65867780] |
[a1,a2,a3,a4,a6] |
j |
-1416213817563136/179029186875 |
j-invariant |
L |
3.5395634524918 |
L(r)(E,1)/r! |
Ω |
0.29496357054279 |
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 |
64680d1 18480q1 |
Quadratic twists by: -4 -7 |