Atkin-Lehner |
3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
3015a |
Isogeny class |
Conductor |
3015 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-24154591321125 = -1 · 316 · 53 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2947,227562] |
[a1,a2,a3,a4,a6] |
j |
3883959939959/33133870125 |
j-invariant |
L |
0.98534578276416 |
L(r)(E,1)/r! |
Ω |
0.49267289138208 |
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 |
48240bp2 1005a2 15075i2 |
Quadratic twists by: -4 -3 5 |