Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
63200p |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-25280000000 = -1 · 212 · 57 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 3 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,467,6437] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-100:1] |
Generators of the group modulo torsion |
j |
175616/395 |
j-invariant |
L |
2.8140141717595 |
L(r)(E,1)/r! |
Ω |
0.82928119572465 |
Real period |
R |
0.84832930813512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63200n1 126400cc1 12640c1 |
Quadratic twists by: -4 8 5 |