Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312b |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-102762143547392 = -1 · 220 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 1 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14177,-817153] |
[a1,a2,a3,a4,a6] |
Generators |
[6753:90944:27] |
Generators of the group modulo torsion |
j |
-208537/68 |
j-invariant |
L |
7.6252843332037 |
L(r)(E,1)/r! |
Ω |
0.21519246248703 |
Real period |
R |
2.9528932089834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bj1 1666a1 53312v1 |
Quadratic twists by: -4 8 -7 |