Atkin-Lehner |
11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15059d |
Isogeny class |
Conductor |
15059 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-38637273993131 = -1 · 11 · 378 |
Discriminant |
Eigenvalues |
0 1 -3 2 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5639367,-5156464613] |
[a1,a2,a3,a4,a6] |
j |
-5646782660608/11 |
j-invariant |
L |
1.3225914993479 |
L(r)(E,1)/r! |
Ω |
0.048984870346218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15059c2 |
Quadratic twists by: 37 |