Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200df |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-677376000 = -1 · 212 · 33 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,165,-950] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-70:1] |
Generators of the group modulo torsion |
j |
35937/49 |
j-invariant |
L |
4.7873391699302 |
L(r)(E,1)/r! |
Ω |
0.85878316872491 |
Real period |
R |
0.69682012647008 |
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 |
1575d1 100800ke1 25200de1 25200di1 |
Quadratic twists by: -4 8 -3 5 |