Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950di |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-32554267200000000 = -1 · 212 · 33 · 58 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202430,36165197] |
[a1,a2,a3,a4,a6] |
Generators |
[273:955:1] |
Generators of the group modulo torsion |
j |
-86980625665155/3086626816 |
j-invariant |
L |
10.065900111762 |
L(r)(E,1)/r! |
Ω |
0.3672057232774 |
Real period |
R |
0.38072437153525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40950n2 40950a1 |
Quadratic twists by: -3 5 |