Atkin-Lehner |
2+ 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
11390g |
Isogeny class |
Conductor |
11390 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
93240 |
Modular degree for the optimal curve |
Δ |
-265326586027640 = -1 · 23 · 5 · 173 · 675 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 -2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7714,-824020] |
[a1,a2,a3,a4,a6] |
j |
-50768494368898041/265326586027640 |
j-invariant |
L |
3.4417192002109 |
L(r)(E,1)/r! |
Ω |
0.22944794668073 |
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 |
91120t1 102510o1 56950j1 |
Quadratic twists by: -4 -3 5 |