Atkin-Lehner |
2+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9272a |
Isogeny class |
Conductor |
9272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-83906704384 = -1 · 210 · 192 · 613 |
Discriminant |
Eigenvalues |
2+ -2 -1 3 3 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,504,13408] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:76:1] |
Generators of the group modulo torsion |
j |
13799183324/81940141 |
j-invariant |
L |
3.4120152293104 |
L(r)(E,1)/r! |
Ω |
0.78094257876288 |
Real period |
R |
1.0922746825751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18544b1 74176g1 83448i1 |
Quadratic twists by: -4 8 -3 |