Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
63200q |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26688 |
Modular degree for the optimal curve |
Δ |
-79884800 = -1 · 29 · 52 · 792 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 1 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,430] |
[a1,a2,a3,a4,a6] |
Generators |
[29:158:1] |
Generators of the group modulo torsion |
j |
1080/6241 |
j-invariant |
L |
3.9670699707543 |
L(r)(E,1)/r! |
Ω |
1.5173524482343 |
Real period |
R |
0.65361709062521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63200d1 126400x1 63200l1 |
Quadratic twists by: -4 8 5 |