Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080i |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2718639579600000000 = -1 · 210 · 314 · 58 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120957,77659342] |
[a1,a2,a3,a4,a6] |
Generators |
[2582:132678:1] |
Generators of the group modulo torsion |
j |
262173775127036/3641867578125 |
j-invariant |
L |
5.6013207741597 |
L(r)(E,1)/r! |
Ω |
0.1893193932867 |
Real period |
R |
3.6983273847978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360bb3 |
Quadratic twists by: -3 |