Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
19740h |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26530560 = 28 · 32 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1260,17640] |
[a1,a2,a3,a4,a6] |
j |
864848456656/103635 |
j-invariant |
L |
2.0324073976385 |
L(r)(E,1)/r! |
Ω |
2.0324073976384 |
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 |
78960df2 59220i2 98700bg2 |
Quadratic twists by: -4 -3 5 |