Atkin-Lehner |
5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5005a |
Isogeny class |
Conductor |
5005 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-683467159375 = -1 · 55 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-770,-40425] |
[a1,a2,a3,a4,a6] |
j |
-50525789641209/683467159375 |
j-invariant |
L |
1.1624732939538 |
L(r)(E,1)/r! |
Ω |
0.38749109798461 |
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 |
80080w1 45045br1 25025a1 35035j1 |
Quadratic twists by: -4 -3 5 -7 |