Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872q |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-250024176154368 = -1 · 28 · 34 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1356,-760068] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2904:1] |
Generators of the group modulo torsion |
j |
9148592/8301447 |
j-invariant |
L |
4.9091342995195 |
L(r)(E,1)/r! |
Ω |
0.25842963036702 |
Real period |
R |
2.3745024383174 |
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 |
12936t1 103488gj1 77616ck1 3696d1 |
Quadratic twists by: -4 8 -3 -7 |