Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240eu |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
9459764321817600 = 210 · 37 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53165,-622125] |
[a1,a2,a3,a4,a6] |
j |
16229658398623744/9238051095525 |
j-invariant |
L |
4.758339217253 |
L(r)(E,1)/r! |
Ω |
0.33988138954429 |
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 |
114240gz1 14280e1 |
Quadratic twists by: -4 8 |