Atkin-Lehner |
2+ 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730h |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1227110653440 = -1 · 29 · 39 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10890,443380] |
[a1,a2,a3,a4,a6] |
j |
-195930594145441/1683279360 |
j-invariant |
L |
1.7353259241721 |
L(r)(E,1)/r! |
Ω |
0.86766296208784 |
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 |
14910ba1 |
Quadratic twists by: -3 |