Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974bf |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
156172800 |
Modular degree for the optimal curve |
Δ |
-7.9746439989448E+30 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1566432344,137945866018421] |
[a1,a2,a3,a4,a6] |
Generators |
[-3830924158347809138154612071653646514992253795679:139691402317832651223211397247421574723927579445395:62622752709618937687718445300349102130364073] |
Generators of the group modulo torsion |
j |
-10533586788701915110554871/197619112436338142550468 |
j-invariant |
L |
6.0664416822294 |
L(r)(E,1)/r! |
Ω |
0.019669463331445 |
Real period |
R |
77.104819536831 |
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 |
64974cg1 |
Quadratic twists by: -7 |