Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fs |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-2369574133563392000 = -1 · 226 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48020,-73950800] |
[a1,a2,a3,a4,a6] |
Generators |
[2360:114820:1] |
Generators of the group modulo torsion |
j |
1323/256 |
j-invariant |
L |
3.1070277274915 |
L(r)(E,1)/r! |
Ω |
0.12182576879643 |
Real period |
R |
6.375965770407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400lb1 2450bg1 78400fq1 78400dx1 |
Quadratic twists by: -4 8 5 -7 |