Atkin-Lehner |
2- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
11620d |
Isogeny class |
Conductor |
11620 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-1785575680 = -1 · 28 · 5 · 75 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 -6 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1076,-13384] |
[a1,a2,a3,a4,a6] |
j |
-538671647824/6974905 |
j-invariant |
L |
2.0821796327865 |
L(r)(E,1)/r! |
Ω |
0.41643592655731 |
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 |
46480l1 104580x1 58100c1 81340l1 |
Quadratic twists by: -4 -3 5 -7 |