Atkin-Lehner |
2- 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30044d |
Isogeny class |
Conductor |
30044 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
179432797768784 = 24 · 710 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18836,-758095] |
[a1,a2,a3,a4,a6] |
Generators |
[332:5439:1] |
Generators of the group modulo torsion |
j |
46192319961219072/11214549860549 |
j-invariant |
L |
3.91054306971 |
L(r)(E,1)/r! |
Ω |
0.41472910250545 |
Real period |
R |
0.62861002456556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120176o1 |
Quadratic twists by: -4 |