Atkin-Lehner |
2- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198y |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41040 |
Modular degree for the optimal curve |
Δ |
-524099884 = -1 · 22 · 74 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- 5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1177,15091] |
[a1,a2,a3,a4,a6] |
j |
-75107620273/218284 |
j-invariant |
L |
9.9228524396856 |
L(r)(E,1)/r! |
Ω |
1.6538087399219 |
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 |
44198bf1 |
Quadratic twists by: -7 |