Atkin-Lehner |
2- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
93800u |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
263040 |
Modular degree for the optimal curve |
Δ |
-484501547084800 = -1 · 210 · 52 · 710 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -2 -2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9448,1119612] |
[a1,a2,a3,a4,a6] |
Generators |
[-25710:1159683:1000] |
Generators of the group modulo torsion |
j |
-3643756666180/18925841683 |
j-invariant |
L |
8.8745449030771 |
L(r)(E,1)/r! |
Ω |
0.45448809327732 |
Real period |
R |
4.8816157277782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93800m1 |
Quadratic twists by: 5 |