Atkin-Lehner |
2+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25550n |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-33548347656250 = -1 · 2 · 59 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 -2 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5424,-231952] |
[a1,a2,a3,a4,a6] |
Generators |
[38:152:1] [52:411:1] |
Generators of the group modulo torsion |
j |
9037905787/17176754 |
j-invariant |
L |
4.4461228692407 |
L(r)(E,1)/r! |
Ω |
0.34254539260142 |
Real period |
R |
1.0816383670776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25550v1 |
Quadratic twists by: 5 |