Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230n |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3062400 |
Modular degree for the optimal curve |
Δ |
2074621923831859200 = 211 · 34 · 52 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -6 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86656658,310485199268] |
[a1,a2,a3,a4,a6] |
j |
143861813219395321/4147200 |
j-invariant |
L |
1.5290558240103 |
L(r)(E,1)/r! |
Ω |
0.19113197800131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75690bk1 126150cj1 25230t1 |
Quadratic twists by: -3 5 29 |