Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648l |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-363345323636736 = -1 · 211 · 34 · 75 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 -5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17208,299376] |
[a1,a2,a3,a4,a6] |
j |
2111277454/1361367 |
j-invariant |
L |
1.3408711384658 |
L(r)(E,1)/r! |
Ω |
0.33521778433567 |
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 |
121296l1 60648x1 |
Quadratic twists by: -4 -19 |