Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1170d |
Isogeny class |
Conductor |
1170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8083217610 = 2 · 314 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81135,8915611] |
[a1,a2,a3,a4,a6] |
Generators |
[165:-76:1] |
Generators of the group modulo torsion |
j |
81025909800741361/11088090 |
j-invariant |
L |
1.8662533162937 |
L(r)(E,1)/r! |
Ω |
1.0225295750634 |
Real period |
R |
0.91256691337168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9360bn5 37440cb6 390b5 5850bm5 |
Quadratic twists by: -4 8 -3 5 |