Atkin-Lehner |
2+ 3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450p |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
17440012800000000 = 215 · 37 · 58 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-96700,9634000] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:4445:1] |
Generators of the group modulo torsion |
j |
256005984158185/44646432768 |
j-invariant |
L |
4.256444597457 |
L(r)(E,1)/r! |
Ω |
0.37092867351191 |
Real period |
R |
3.8250342080255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450cu1 |
Quadratic twists by: 5 |