Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80802l |
Isogeny class |
Conductor |
80802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
-654556853374884 = -1 · 22 · 33 · 677 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-108578,-13798555] |
[a1,a2,a3,a4,a6] |
Generators |
[174615:2627815:343] |
Generators of the group modulo torsion |
j |
-57960603/268 |
j-invariant |
L |
10.039739485108 |
L(r)(E,1)/r! |
Ω |
0.1314662505538 |
Real period |
R |
9.5459285558485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80802c1 1206a1 |
Quadratic twists by: -3 -67 |