Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646n |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
7908280527328056 = 23 · 312 · 172 · 235 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 6 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60030,3722044] |
[a1,a2,a3,a4,a6] |
j |
113555308264129/37536752376 |
j-invariant |
L |
1.5327445904881 |
L(r)(E,1)/r! |
Ω |
0.38318626868125 |
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 |
39882bo1 119646bf1 |
Quadratic twists by: -3 17 |