Atkin-Lehner |
2- 3- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bp |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-4534064911083456 = -1 · 26 · 36 · 7 · 173 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33896,4041451] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1835:1] |
Generators of the group modulo torsion |
j |
-5907850882757433/6219567779264 |
j-invariant |
L |
9.5138198909727 |
L(r)(E,1)/r! |
Ω |
0.3957903684141 |
Real period |
R |
1.0015634371773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758f1 |
Quadratic twists by: -3 |