Atkin-Lehner |
2+ 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112784h |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1895560688 = -1 · 24 · 76 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 5 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4460,-113189] |
[a1,a2,a3,a4,a6] |
Generators |
[99:637:1] |
Generators of the group modulo torsion |
j |
-613346197847296/118472543 |
j-invariant |
L |
4.078371451884 |
L(r)(E,1)/r! |
Ω |
0.2920940412401 |
Real period |
R |
2.327088150397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998991152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56392d1 |
Quadratic twists by: -4 |