Atkin-Lehner |
2+ 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
127534a |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2908224 |
Modular degree for the optimal curve |
Δ |
2760933835218083624 = 23 · 119 · 173 · 313 |
Discriminant |
Eigenvalues |
2+ 2 -3 -3 11+ 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-512074,-116410356] |
[a1,a2,a3,a4,a6] |
Generators |
[-1004211:10903719:2197] |
Generators of the group modulo torsion |
j |
6297802653563/1170905464 |
j-invariant |
L |
4.1678004192502 |
L(r)(E,1)/r! |
Ω |
0.18076305933703 |
Real period |
R |
11.528352443027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997740194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534l1 |
Quadratic twists by: -11 |