Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
84084u |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
7660800 |
Modular degree for the optimal curve |
Δ |
-1.2619075454865E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24543773,47104392831] |
[a1,a2,a3,a4,a6] |
Generators |
[-2315:302526:1] |
Generators of the group modulo torsion |
j |
-54289957440781312000/418985826446187 |
j-invariant |
L |
8.7344622308319 |
L(r)(E,1)/r! |
Ω |
0.12708541029389 |
Real period |
R |
1.1454845217985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12012a1 |
Quadratic twists by: -7 |