Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100a |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
70024684800 = 28 · 3 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1293,13017] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1029:8] [11:2:1] |
Generators of the group modulo torsion |
j |
37383086080/10941357 |
j-invariant |
L |
8.697030425977 |
L(r)(E,1)/r! |
Ω |
1.0183529139458 |
Real period |
R |
1.4233818660948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100bg1 |
Quadratic twists by: 5 |