Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bx |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
1201261732256250000 = 24 · 39 · 58 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-793713,266684031] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:21038:1] |
Generators of the group modulo torsion |
j |
3539111138359094089/76880750864400 |
j-invariant |
L |
7.6024481219731 |
L(r)(E,1)/r! |
Ω |
0.27327669132282 |
Real period |
R |
3.4774499412786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430m1 |
Quadratic twists by: 5 |