Atkin-Lehner |
2+ 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504g |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120576 |
Modular degree for the optimal curve |
Δ |
-30752496 = -1 · 24 · 32 · 31 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 2 6 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21920,-1256469] |
[a1,a2,a3,a4,a6] |
j |
-72802315342356736/1922031 |
j-invariant |
L |
3.138902280672 |
L(r)(E,1)/r! |
Ω |
0.19618137306952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61752b1 |
Quadratic twists by: -4 |