Atkin-Lehner |
5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
22385h |
Isogeny class |
Conductor |
22385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3326400 |
Modular degree for the optimal curve |
Δ |
-5.8442312670231E+22 |
Discriminant |
Eigenvalues |
2 0 5+ -1 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44227073,-113804783491] |
[a1,a2,a3,a4,a6] |
Generators |
[5637428443422946727307754028433509793404824595241531598:1092782077077833414239814361982528715125137884871210937321:145327181003473310037302027801622391757420030852216] |
Generators of the group modulo torsion |
j |
-5400477932182072602624/32989161914396875 |
j-invariant |
L |
9.2078890761506 |
L(r)(E,1)/r! |
Ω |
0.029260985334805 |
Real period |
R |
78.670360642282 |
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 |
111925l1 2035b1 |
Quadratic twists by: 5 -11 |