Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550ba |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-8419950 = -1 · 2 · 37 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116,488] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
-6819690145/336798 |
j-invariant |
L |
4.1415433014083 |
L(r)(E,1)/r! |
Ω |
2.2998201295358 |
Real period |
R |
0.25725883318438 |
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 |
92400dx1 34650dr1 11550bx1 80850m1 |
Quadratic twists by: -4 -3 5 -7 |