Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11544c |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6396668928 = -1 · 210 · 33 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -6 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,416,-2180] |
[a1,a2,a3,a4,a6] |
Generators |
[18:104:1] [21:124:1] |
Generators of the group modulo torsion |
j |
7756384892/6246747 |
j-invariant |
L |
4.9286644213111 |
L(r)(E,1)/r! |
Ω |
0.74237252027029 |
Real period |
R |
3.3195358709643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088j2 92352t2 34632o2 |
Quadratic twists by: -4 8 -3 |