Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8050b |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
61849760000000000 = 214 · 510 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-228000,40064000] |
[a1,a2,a3,a4,a6] |
Generators |
[6105:6860:27] |
Generators of the group modulo torsion |
j |
83890194895342081/3958384640000 |
j-invariant |
L |
4.2810279137222 |
L(r)(E,1)/r! |
Ω |
0.34613360138817 |
Real period |
R |
6.1840686609927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400bz1 72450dv1 1610g1 56350g1 |
Quadratic twists by: -4 -3 5 -7 |