Atkin-Lehner |
3+ 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102225d |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
14375390625 = 33 · 58 · 29 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19125,-1026000] |
[a1,a2,a3,a4,a6] |
j |
49515765633361/920025 |
j-invariant |
L |
1.6238903803996 |
L(r)(E,1)/r! |
Ω |
0.40597259819946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445f1 |
Quadratic twists by: 5 |