Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080fa |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
2888376243978240000 = 234 · 38 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2816652,1817644304] |
[a1,a2,a3,a4,a6] |
j |
12931706531187361/15114240000 |
j-invariant |
L |
2.0268228179637 |
L(r)(E,1)/r! |
Ω |
0.25335283053109 |
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 |
118080bx1 29520bh1 39360br1 |
Quadratic twists by: -4 8 -3 |