Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11544c |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
89766144 = 28 · 36 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -6 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124,-236] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:16:1] [-3:10:1] |
Generators of the group modulo torsion |
j |
830321872/350649 |
j-invariant |
L |
4.9286644213111 |
L(r)(E,1)/r! |
Ω |
1.4847450405406 |
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 |
23088j1 92352t1 34632o1 |
Quadratic twists by: -4 8 -3 |