Atkin-Lehner |
5+ 43- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72025b |
Isogeny class |
Conductor |
72025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30208 |
Modular degree for the optimal curve |
Δ |
-1935671875 = -1 · 56 · 432 · 67 |
Discriminant |
Eigenvalues |
0 2 5+ 4 2 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,267,-1382] |
[a1,a2,a3,a4,a6] |
Generators |
[106:521:8] |
Generators of the group modulo torsion |
j |
134217728/123883 |
j-invariant |
L |
9.6309677647242 |
L(r)(E,1)/r! |
Ω |
0.80943050230167 |
Real period |
R |
2.9746123161263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2881a1 |
Quadratic twists by: 5 |