Atkin-Lehner |
2+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
73696d |
Isogeny class |
Conductor |
73696 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-145863839744 = -1 · 212 · 73 · 473 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -5 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1279,-5711] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1316:1] |
Generators of the group modulo torsion |
j |
164566592/103823 |
j-invariant |
L |
2.2422573445891 |
L(r)(E,1)/r! |
Ω |
0.5925805392798 |
Real period |
R |
0.15766192633006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73696j1 73696a1 |
Quadratic twists by: -4 -7 |