Atkin-Lehner |
2+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
41552c |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
63168 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 1 7 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8918,324135] |
[a1,a2,a3,a4,a6] |
j |
850397184/53 |
j-invariant |
L |
3.8917506804291 |
L(r)(E,1)/r! |
Ω |
1.2972502268221 |
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 |
20776b1 41552l1 |
Quadratic twists by: -4 -7 |