Atkin-Lehner |
2+ 3- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170h |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90816 |
Modular degree for the optimal curve |
Δ |
-1671072000000 = -1 · 211 · 3 · 56 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 3 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3849,-111284] |
[a1,a2,a3,a4,a6] |
j |
-6303840814852489/1671072000000 |
j-invariant |
L |
1.1957250773387 |
L(r)(E,1)/r! |
Ω |
0.29893126935552 |
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 |
120510be1 |
Quadratic twists by: -3 |