Atkin-Lehner |
2- 3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734o |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-951204603377673216 = -1 · 210 · 324 · 11 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11- 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,242170,9990659] |
[a1,a2,a3,a4,a6] |
j |
1570668830493955051679/951204603377673216 |
j-invariant |
L |
3.4261639402548 |
L(r)(E,1)/r! |
Ω |
0.17130819701274 |
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 |
59202f1 |
Quadratic twists by: -3 |