Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dw |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8698529710080 = 217 · 38 · 5 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1726401,-873668961] |
[a1,a2,a3,a4,a6] |
j |
4341492689834008802/66364515 |
j-invariant |
L |
4.2146747767456 |
L(r)(E,1)/r! |
Ω |
0.13170859422442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fp6 14280bp5 |
Quadratic twists by: -4 8 |