Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112r |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9473219222455296 = 210 · 36 · 74 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71912,-5734980] |
[a1,a2,a3,a4,a6] |
j |
40163716877282212/9251190646929 |
j-invariant |
L |
2.3709813962953 |
L(r)(E,1)/r! |
Ω |
0.29637267453687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70224s2 105336v2 |
Quadratic twists by: -4 -3 |