Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fk |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4133430000 = -1 · 24 · 310 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,-1325] |
[a1,a2,a3,a4,a6] |
Generators |
[74:657:1] |
Generators of the group modulo torsion |
j |
800000/567 |
j-invariant |
L |
5.2133658641523 |
L(r)(E,1)/r! |
Ω |
0.78185293923879 |
Real period |
R |
3.3339811123739 |
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 |
6300t1 100800pg1 8400cs1 25200dq1 |
Quadratic twists by: -4 8 -3 5 |