Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11400bf |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-769500000000 = -1 · 28 · 34 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,-42588] |
[a1,a2,a3,a4,a6] |
j |
-78608/1539 |
j-invariant |
L |
1.5476451894853 |
L(r)(E,1)/r! |
Ω |
0.38691129737132 |
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 |
22800bi1 91200eg1 34200bp1 11400s1 |
Quadratic twists by: -4 8 -3 5 |