Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ho |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-787512993750000 = -1 · 24 · 32 · 58 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21463,1811417] |
[a1,a2,a3,a4,a6] |
j |
-594823321/428400 |
j-invariant |
L |
7.4203420911933 |
L(r)(E,1)/r! |
Ω |
0.46377145833872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990g1 17850bh1 |
Quadratic twists by: 5 -7 |