Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25550y |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
311808 |
Modular degree for the optimal curve |
Δ |
-35881689449872000 = -1 · 27 · 53 · 78 · 733 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-712360,231775467] |
[a1,a2,a3,a4,a6] |
Generators |
[495:263:1] |
Generators of the group modulo torsion |
j |
-319824480619628671077/287053515598976 |
j-invariant |
L |
8.0874804726551 |
L(r)(E,1)/r! |
Ω |
0.36416170755337 |
Real period |
R |
0.066096686883436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25550j1 |
Quadratic twists by: 5 |