Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520p |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
385024 |
Modular degree for the optimal curve |
Δ |
-97788377923390000 = -1 · 24 · 54 · 74 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106802,-20170379] |
[a1,a2,a3,a4,a6] |
j |
-8420577666427754496/6111773620211875 |
j-invariant |
L |
1.0238057205924 |
L(r)(E,1)/r! |
Ω |
0.12797571518168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117040s1 |
Quadratic twists by: -4 |