Atkin-Lehner |
5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25075b |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-266421875 = -1 · 56 · 172 · 59 |
Discriminant |
Eigenvalues |
-1 -1 5+ -3 4 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-1344] |
[a1,a2,a3,a4,a6] |
Generators |
[16:0:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
2.2717405367392 |
L(r)(E,1)/r! |
Ω |
0.63314849378978 |
Real period |
R |
1.7940029543002 |
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 |
1003b1 |
Quadratic twists by: 5 |