Atkin-Lehner |
2- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198bb |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58032 |
Modular degree for the optimal curve |
Δ |
-3395820736 = -1 · 26 · 76 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 11+ -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3137,-68993] |
[a1,a2,a3,a4,a6] |
j |
-29019350017/28864 |
j-invariant |
L |
1.9136634264658 |
L(r)(E,1)/r! |
Ω |
0.31894390440758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
902b1 |
Quadratic twists by: -7 |