Atkin-Lehner |
2+ 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342h |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11741184 |
Modular degree for the optimal curve |
Δ |
1.3497203811097E+21 |
Discriminant |
Eigenvalues |
2+ -3 1 7- 0 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32684479,-71891891723] |
[a1,a2,a3,a4,a6] |
Generators |
[-109218016:164140227:32768] |
Generators of the group modulo torsion |
j |
32821632562202351169849/11472433944272056 |
j-invariant |
L |
2.0513568819263 |
L(r)(E,1)/r! |
Ω |
0.063142718040588 |
Real period |
R |
4.0609529944478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906b1 |
Quadratic twists by: -7 |