Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230r |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
4.0462494676402E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3749562472,-88371941741781] |
[a1,a2,a3,a4,a6] |
Generators |
[132337:41563601:1] |
Generators of the group modulo torsion |
j |
1207828796637024651118862169/83828663360000 |
j-invariant |
L |
9.973282119427 |
L(r)(E,1)/r! |
Ω |
0.019293206213011 |
Real period |
R |
7.1796157342701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710b3 |
Quadratic twists by: 13 |