Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
2385f |
Isogeny class |
Conductor |
2385 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-69299839969875 = -1 · 321 · 53 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- 2 0 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4422,-416205] |
[a1,a2,a3,a4,a6] |
j |
-13117540040704/95061508875 |
j-invariant |
L |
1.555713519929 |
L(r)(E,1)/r! |
Ω |
0.25928558665483 |
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 |
38160cf1 795c1 11925i1 116865r1 |
Quadratic twists by: -4 -3 5 -7 |