Atkin-Lehner |
3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15111i |
Isogeny class |
Conductor |
15111 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22836788749688967 = -1 · 38 · 23 · 736 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 2 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63005,-9466612] |
[a1,a2,a3,a4,a6] |
Generators |
[400827:13135543:343] |
Generators of the group modulo torsion |
j |
-37941523830015625/31326184841823 |
j-invariant |
L |
2.9066516553302 |
L(r)(E,1)/r! |
Ω |
0.14556702118655 |
Real period |
R |
9.983894812291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037g2 |
Quadratic twists by: -3 |