Atkin-Lehner |
2+ 3- 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038o |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
82068480 |
Modular degree for the optimal curve |
Δ |
-3.0375395146054E+24 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 7 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-580333545,5381818635213] |
[a1,a2,a3,a4,a6] |
Generators |
[-2601:2623068:1] |
Generators of the group modulo torsion |
j |
-29650307970009309738926213521/4166720870514916589568 |
j-invariant |
L |
7.5859273923372 |
L(r)(E,1)/r! |
Ω |
0.077240914783009 |
Real period |
R |
4.9105628994734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38346p1 |
Quadratic twists by: -3 |