Atkin-Lehner |
7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
36113c |
Isogeny class |
Conductor |
36113 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-447323027767 = -1 · 77 · 112 · 672 |
Discriminant |
Eigenvalues |
-1 -2 0 7- 11+ -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1077,-29072] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-289:1] |
Generators of the group modulo torsion |
j |
1174241375/3802183 |
j-invariant |
L |
1.0128636328035 |
L(r)(E,1)/r! |
Ω |
0.47966428119963 |
Real period |
R |
0.52790236447838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159c2 |
Quadratic twists by: -7 |