Atkin-Lehner |
2- 3- 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410t |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
608 |
Product of Tamagawa factors cp |
deg |
40624128 |
Modular degree for the optimal curve |
Δ |
-5.8503314070848E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32623492,-360952052673] |
[a1,a2,a3,a4,a6] |
j |
5267293685802789569587079/80251459630792704000000 |
j-invariant |
L |
4.6479556578578 |
L(r)(E,1)/r! |
Ω |
0.030578658007112 |
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 |
40470m1 |
Quadratic twists by: -3 |