Atkin-Lehner |
3+ 5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755a |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.6849090798698E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3341721,1274633064] |
[a1,a2,a3,a4,a6] |
Generators |
[-1314:58958:1] |
Generators of the group modulo torsion |
j |
4126998241583808896352529/1684909079869768636455 |
j-invariant |
L |
2.5440298096536 |
L(r)(E,1)/r! |
Ω |
0.13554881383787 |
Real period |
R |
2.3460458059563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265bl2 |
Quadratic twists by: -3 |