Atkin-Lehner |
2- 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768cw |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-942352704 = -1 · 26 · 34 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -3 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344,-2754] |
[a1,a2,a3,a4,a6] |
j |
-70547387968/14724261 |
j-invariant |
L |
3.2880615169353 |
L(r)(E,1)/r! |
Ω |
0.54801038239136 |
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 |
120768dw1 60384s1 |
Quadratic twists by: -4 8 |