Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35112p |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
738544895649792 = 211 · 33 · 7 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22624,85228] |
[a1,a2,a3,a4,a6] |
j |
625347088535234/360617624829 |
j-invariant |
L |
0.86208976681126 |
L(r)(E,1)/r! |
Ω |
0.43104488340601 |
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 |
70224t3 105336ba3 |
Quadratic twists by: -4 -3 |