Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320be |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4290000000000000000 = 216 · 3 · 516 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-715936,-210556160] |
[a1,a2,a3,a4,a6] |
j |
9908022260084596129/1047363281250000 |
j-invariant |
L |
1.3219982019383 |
L(r)(E,1)/r! |
Ω |
0.16524977524192 |
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 |
4290w4 102960ea3 |
Quadratic twists by: -4 -3 |