Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350br |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21565440 |
Modular degree for the optimal curve |
Δ |
-2.5552769116945E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119453292,558301226616] |
[a1,a2,a3,a4,a6] |
Generators |
[-7161:1026543:1] |
Generators of the group modulo torsion |
j |
-16548953231297345532409/2243315807248912200 |
j-invariant |
L |
4.4227502850924 |
L(r)(E,1)/r! |
Ω |
0.064917735261113 |
Real period |
R |
5.6773780138662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450cs1 18270bt1 |
Quadratic twists by: -3 5 |