Atkin-Lehner |
3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30015m |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1182161275245 = -1 · 312 · 5 · 232 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3137,-84706] |
[a1,a2,a3,a4,a6] |
j |
-4681768588489/1621620405 |
j-invariant |
L |
1.2539847392391 |
L(r)(E,1)/r! |
Ω |
0.31349618480924 |
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 |
10005j2 |
Quadratic twists by: -3 |