Atkin-Lehner |
2+ 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088c |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-25893459648 = -1 · 26 · 33 · 74 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1254,19188] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:182:1] [8:98:1] |
Generators of the group modulo torsion |
j |
-3410221820608/404585307 |
j-invariant |
L |
7.7322217815886 |
L(r)(E,1)/r! |
Ω |
1.1569362076705 |
Real period |
R |
1.6708401315311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53088q1 106176u2 |
Quadratic twists by: -4 8 |