Atkin-Lehner |
2- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
105400m |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-951893750000 = -1 · 24 · 58 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -3 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2092,29813] |
[a1,a2,a3,a4,a6] |
j |
4048192256/3807575 |
j-invariant |
L |
2.3110076878163 |
L(r)(E,1)/r! |
Ω |
0.57775199307409 |
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 |
21080d1 |
Quadratic twists by: 5 |