Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
1314a |
Isogeny class |
Conductor |
1314 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-71489077825113288 = -1 · 23 · 310 · 736 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-656082,205111548] |
[a1,a2,a3,a4,a6] |
Generators |
[563871:20204463:343] |
Generators of the group modulo torsion |
j |
-42842117160045582625/98064578635272 |
j-invariant |
L |
2.0895657322661 |
L(r)(E,1)/r! |
Ω |
0.34673672565723 |
Real period |
R |
9.0395633530257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10512s4 42048q4 438a4 32850bm4 |
Quadratic twists by: -4 8 -3 5 |