Atkin-Lehner |
2+ 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136b |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19671662592 = 214 · 39 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35100,-2531088] |
[a1,a2,a3,a4,a6] |
Generators |
[779034971:-7751078119:2924207] |
Generators of the group modulo torsion |
j |
14829750000/61 |
j-invariant |
L |
5.528951327441 |
L(r)(E,1)/r! |
Ω |
0.34879711391098 |
Real period |
R |
15.851482443323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136bd2 2196a2 35136a2 |
Quadratic twists by: -4 8 -3 |