Atkin-Lehner |
3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13431b |
Isogeny class |
Conductor |
13431 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29052273500811 = 32 · 119 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62862,6034656] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:3423:1] |
Generators of the group modulo torsion |
j |
11650768163/12321 |
j-invariant |
L |
3.0355541184971 |
L(r)(E,1)/r! |
Ω |
0.66028347139923 |
Real period |
R |
2.298674925229 |
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 |
40293e2 13431a2 |
Quadratic twists by: -3 -11 |