Atkin-Lehner |
2+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
29050a |
Isogeny class |
Conductor |
29050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-10167500000000 = -1 · 28 · 510 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -4 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4049,-116702] |
[a1,a2,a3,a4,a6] |
Generators |
[71:692:1] |
Generators of the group modulo torsion |
j |
752005775/1041152 |
j-invariant |
L |
3.6721296413902 |
L(r)(E,1)/r! |
Ω |
0.38498795576174 |
Real period |
R |
2.3845743655308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29050r1 |
Quadratic twists by: 5 |