Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550l |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
216562500 = 22 · 32 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:30:1] |
Generators of the group modulo torsion |
j |
24137569/13860 |
j-invariant |
L |
2.7411374867572 |
L(r)(E,1)/r! |
Ω |
1.5154415530361 |
Real period |
R |
0.4522011227133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400gf1 34650dl1 2310s1 80850co1 |
Quadratic twists by: -4 -3 5 -7 |