Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550cc |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1415285156250 = 2 · 36 · 59 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7188,-230469] |
[a1,a2,a3,a4,a6] |
Generators |
[-3500:5093:64] |
Generators of the group modulo torsion |
j |
2628643361401/90578250 |
j-invariant |
L |
8.8791461713534 |
L(r)(E,1)/r! |
Ω |
0.51959549360757 |
Real period |
R |
2.1360717805295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910u1 |
Quadratic twists by: 5 |