Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
2555d |
Isogeny class |
Conductor |
2555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2208 |
Modular degree for the optimal curve |
Δ |
-4662875 = -1 · 53 · 7 · 732 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -1 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4436,-112254] |
[a1,a2,a3,a4,a6] |
j |
-9655977011728384/4662875 |
j-invariant |
L |
0.58498334231184 |
L(r)(E,1)/r! |
Ω |
0.29249167115592 |
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 |
40880k1 22995i1 12775d1 17885v1 |
Quadratic twists by: -4 -3 5 -7 |