Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
25560m |
Isogeny class |
Conductor |
25560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2173381113600 = -1 · 28 · 314 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2193,-58894] |
[a1,a2,a3,a4,a6] |
Generators |
[37:270:1] |
Generators of the group modulo torsion |
j |
6249886256/11645775 |
j-invariant |
L |
5.2139704396718 |
L(r)(E,1)/r! |
Ω |
0.43071555299408 |
Real period |
R |
1.5131710485689 |
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 |
51120f2 8520b2 127800q2 |
Quadratic twists by: -4 -3 5 |