Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050w |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
10175625000000 = 26 · 35 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6813,-155469] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:272:1] |
Generators of the group modulo torsion |
j |
2238323410441/651240000 |
j-invariant |
L |
5.8099880321381 |
L(r)(E,1)/r! |
Ω |
0.53719425605197 |
Real period |
R |
1.802572026377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400cv1 30150z1 2010e1 |
Quadratic twists by: -4 -3 5 |