Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650bk |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
19378642500000 = 25 · 36 · 57 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27942,-1778284] |
[a1,a2,a3,a4,a6] |
Generators |
[-818:759:8] |
Generators of the group modulo torsion |
j |
211815318681/1701280 |
j-invariant |
L |
5.7901489204812 |
L(r)(E,1)/r! |
Ω |
0.36944076850429 |
Real period |
R |
2.612123247874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850z1 19530bo1 |
Quadratic twists by: -3 5 |