Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
26544g |
Isogeny class |
Conductor |
26544 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
1638451971072 = 210 · 310 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8384,286212] |
[a1,a2,a3,a4,a6] |
Generators |
[64:126:1] [-101:336:1] |
Generators of the group modulo torsion |
j |
63654537026308/1600050753 |
j-invariant |
L |
8.4250775168016 |
L(r)(E,1)/r! |
Ω |
0.84078097010118 |
Real period |
R |
0.33401792763332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13272a1 106176bs1 79632j1 |
Quadratic twists by: -4 8 -3 |