Atkin-Lehner |
2+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
125248s |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-155956805632 = -1 · 222 · 192 · 103 |
Discriminant |
Eigenvalues |
2+ 0 2 4 -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1484,-29072] |
[a1,a2,a3,a4,a6] |
Generators |
[508067742:1447359488:10218313] |
Generators of the group modulo torsion |
j |
-1378749897/594928 |
j-invariant |
L |
9.2542523717491 |
L(r)(E,1)/r! |
Ω |
0.37668705444079 |
Real period |
R |
12.283740861769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125248w1 3914a1 |
Quadratic twists by: -4 8 |