Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514o |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1661184 |
Modular degree for the optimal curve |
Δ |
-2.5059053071527E+19 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 11- -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-803883,-367447786] |
[a1,a2,a3,a4,a6] |
Generators |
[1549053:21244904:1331] |
Generators of the group modulo torsion |
j |
-474805891285352176561/207099612161376256 |
j-invariant |
L |
2.4935724150248 |
L(r)(E,1)/r! |
Ω |
0.078065804020046 |
Real period |
R |
3.9927411982143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52514s1 |
Quadratic twists by: -11 |