Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610bh |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
4550245512257700 = 22 · 314 · 52 · 194 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4956371,-4247524899] |
[a1,a2,a3,a4,a6] |
j |
13465272268720702111390129/4550245512257700 |
j-invariant |
L |
5.6662618225668 |
L(r)(E,1)/r! |
Ω |
0.10118324683368 |
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 |
124830bh1 |
Quadratic twists by: -3 |