Atkin-Lehner |
3+ 5- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755j |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14948730225 = 34 · 52 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-715,-4720] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:55:1] |
Generators of the group modulo torsion |
j |
40427771258161/14948730225 |
j-invariant |
L |
3.9151373043597 |
L(r)(E,1)/r! |
Ω |
0.95201070825929 |
Real period |
R |
2.0562464636113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122265j2 |
Quadratic twists by: -3 |