Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11928f |
Isogeny class |
Conductor |
11928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-278256384 = -1 · 28 · 37 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -5 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61836,-5897916] |
[a1,a2,a3,a4,a6] |
Generators |
[320:2642:1] |
Generators of the group modulo torsion |
j |
-102144487949235664/1086939 |
j-invariant |
L |
3.1921091789899 |
L(r)(E,1)/r! |
Ω |
0.15137655810735 |
Real period |
R |
5.2718023498827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23856j1 95424t1 35784f1 83496w1 |
Quadratic twists by: -4 8 -3 -7 |