Atkin-Lehner |
5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4225o |
Isogeny class |
Conductor |
4225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-858203125 = -1 · 58 · 133 |
Discriminant |
Eigenvalues |
-1 -2 5- -5 -3 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,237,142] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-176:1] |
Generators of the group modulo torsion |
j |
1715 |
j-invariant |
L |
0.95495559460567 |
L(r)(E,1)/r! |
Ω |
0.955433489862 |
Real period |
R |
0.16658330219365 |
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 |
67600dj1 38025ct1 4225d1 4225l1 |
Quadratic twists by: -4 -3 5 13 |