Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470m |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1221310198432836750 = 2 · 3 · 53 · 718 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-316100,-43167433] |
[a1,a2,a3,a4,a6] |
j |
29689921233686449/10380965400750 |
j-invariant |
L |
2.4854608258679 |
L(r)(E,1)/r! |
Ω |
0.207121735489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11760co7 47040cf8 4410h7 7350w7 |
Quadratic twists by: -4 8 -3 5 |