Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480ba |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
18077472000 = 28 · 33 · 53 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20501,-1122999] |
[a1,a2,a3,a4,a6] |
Generators |
[-109945:866:1331] |
Generators of the group modulo torsion |
j |
3722460239233024/70615125 |
j-invariant |
L |
5.2329115493782 |
L(r)(E,1)/r! |
Ω |
0.3989831201169 |
Real period |
R |
6.5578107245001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999644251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25620j1 |
Quadratic twists by: -4 |