Atkin-Lehner |
3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5229b |
Isogeny class |
Conductor |
5229 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
2.8612017314648E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26102466,-51322730193] |
[a1,a2,a3,a4,a6] |
Generators |
[-1460292624149127122:1126320519635224421:495232836894613] |
Generators of the group modulo torsion |
j |
2697992943085423885932577/39248309073591009 |
j-invariant |
L |
5.1245430641834 |
L(r)(E,1)/r! |
Ω |
0.066792784391912 |
Real period |
R |
25.574334667224 |
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 |
83664ca1 1743b1 36603m1 |
Quadratic twists by: -4 -3 -7 |