Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660t |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-292488120288000 = -1 · 28 · 315 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64848,6409172] |
[a1,a2,a3,a4,a6] |
j |
-3297994276864/31984875 |
j-invariant |
L |
1.0993437696633 |
L(r)(E,1)/r! |
Ω |
0.549672384228 |
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 |
38220k1 114660bl1 |
Quadratic twists by: -3 -7 |