Atkin-Lehner |
3- 5- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755x |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-302193230625 = -1 · 34 · 54 · 11 · 134 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,322,26381] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:142:1] |
Generators of the group modulo torsion |
j |
3708759747239/302193230625 |
j-invariant |
L |
9.2176788033629 |
L(r)(E,1)/r! |
Ω |
0.74198696332629 |
Real period |
R |
1.5528707475602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265h3 |
Quadratic twists by: -3 |