Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950dm |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
563172926921718750 = 2 · 314 · 57 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9042852380,330985708384497] |
[a1,a2,a3,a4,a6] |
Generators |
[4008999605851724:-1071103038332707155:32645273536] |
Generators of the group modulo torsion |
j |
7179471593960193209684686321/49441793310 |
j-invariant |
L |
8.7680303610112 |
L(r)(E,1)/r! |
Ω |
0.09737038080413 |
Real period |
R |
22.512057282192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650a7 8190m7 |
Quadratic twists by: -3 5 |