Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336bm |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48168960 |
Modular degree for the optimal curve |
Δ |
1.5465926472334E+24 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 -5 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1917442561,-32316351602783] |
[a1,a2,a3,a4,a6] |
j |
2974067900496992515620792961/5899782742437003264 |
j-invariant |
L |
0.41066869908913 |
L(r)(E,1)/r! |
Ω |
0.022814923431266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336v1 25584x1 |
Quadratic twists by: -4 8 |