Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032co |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1984512 |
Modular degree for the optimal curve |
Δ |
-3.0694785459071E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15006747,-22377355882] |
[a1,a2,a3,a4,a6] |
Generators |
[5347961700687119728330419734114:453044874841592581861415892510372:587911713393820885114184621] |
Generators of the group modulo torsion |
j |
-5108928607403691602/419576389587 |
j-invariant |
L |
7.3417882261016 |
L(r)(E,1)/r! |
Ω |
0.038352685478261 |
Real period |
R |
47.857067468346 |
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 |
22344h1 67032br1 |
Quadratic twists by: -3 -7 |