Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240l |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
19801292313600 = 210 · 33 · 52 · 73 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10421,-345579] |
[a1,a2,a3,a4,a6] |
j |
122234448510976/19337199525 |
j-invariant |
L |
1.9102481899492 |
L(r)(E,1)/r! |
Ω |
0.47756202760745 |
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 |
114240jj1 7140n1 |
Quadratic twists by: -4 8 |