Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104h |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-37644849245696 = -1 · 29 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 11- -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143304,-20834636] |
[a1,a2,a3,a4,a6] |
Generators |
[444:1694:1] |
Generators of the group modulo torsion |
j |
-2965447496/343 |
j-invariant |
L |
2.8885630053525 |
L(r)(E,1)/r! |
Ω |
0.12268789480506 |
Real period |
R |
1.3079996423002 |
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 |
27104d1 54208cr1 27104l1 |
Quadratic twists by: -4 8 -11 |