Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600j |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-133743383200000000 = -1 · 211 · 58 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81875,-19771250] |
[a1,a2,a3,a4,a6] |
j |
-75873071250/167179229 |
j-invariant |
L |
3.1705587973707 |
L(r)(E,1)/r! |
Ω |
0.13210661655879 |
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 |
81200t1 40600p1 |
Quadratic twists by: -4 5 |