Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600z |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-31933300000000000 = -1 · 211 · 511 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,74592,-3551188] |
[a1,a2,a3,a4,a6] |
Generators |
[857:26250:1] |
Generators of the group modulo torsion |
j |
1434315418702/997915625 |
j-invariant |
L |
7.8293794174453 |
L(r)(E,1)/r! |
Ω |
0.20906249054279 |
Real period |
R |
3.7449948085464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200h1 5320a1 |
Quadratic twists by: -4 5 |