Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574bt |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5588352 |
Modular degree for the optimal curve |
Δ |
-2.0976152980642E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23102472,48076519833] |
[a1,a2,a3,a4,a6] |
Generators |
[-8118852:401616283:1728] |
Generators of the group modulo torsion |
j |
-2047314227/314928 |
j-invariant |
L |
7.9987944504523 |
L(r)(E,1)/r! |
Ω |
0.096552451023221 |
Real period |
R |
10.355504140087 |
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 |
106722cf1 35574ci1 35574f1 |
Quadratic twists by: -3 -7 -11 |