Atkin-Lehner |
2- 3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630r |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
3584000 |
Modular degree for the optimal curve |
Δ |
1.7386991636183E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-876713,244317417] |
[a1,a2,a3,a4,a6] |
Generators |
[-673:23340:1] |
Generators of the group modulo torsion |
j |
102227574940842947401/23850468636739200 |
j-invariant |
L |
8.5832966698314 |
L(r)(E,1)/r! |
Ω |
0.20593426328494 |
Real period |
R |
0.14885638965824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36210g1 |
Quadratic twists by: -3 |