Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992fi |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-668817608933376 = -1 · 226 · 38 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18156,1560400] |
[a1,a2,a3,a4,a6] |
j |
-3463512697/3499776 |
j-invariant |
L |
1.8594315005377 |
L(r)(E,1)/r! |
Ω |
0.46485793720095 |
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 |
124992cv1 31248bs1 41664dp1 |
Quadratic twists by: -4 8 -3 |