Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cf |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.176098041394E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188273676,1007931361264] |
[a1,a2,a3,a4,a6] |
Generators |
[10358620017620853:2730001911635454085:3802990511529] |
Generators of the group modulo torsion |
j |
-3862113817658457666817/61542633506345208 |
j-invariant |
L |
7.07571790168 |
L(r)(E,1)/r! |
Ω |
0.071666554333936 |
Real period |
R |
24.682775637322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999666211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992gd5 3906h6 41664bt5 |
Quadratic twists by: -4 8 -3 |