Atkin-Lehner |
2+ 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6726b |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-6146565593300720928 = -1 · 25 · 32 · 1910 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,439335,-40627323] |
[a1,a2,a3,a4,a6] |
j |
9377985929781133766375/6146565593300720928 |
j-invariant |
L |
1.3617359801838 |
L(r)(E,1)/r! |
Ω |
0.13617359801838 |
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 |
53808s2 20178o2 127794bv2 |
Quadratic twists by: -4 -3 -19 |