Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640b |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-14084437500000000 = -1 · 28 · 32 · 512 · 73 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54284,2966080] |
[a1,a2,a3,a4,a6] |
Generators |
[-618900:13551472:15625] |
Generators of the group modulo torsion |
j |
69102104159696816/55017333984375 |
j-invariant |
L |
5.7538248316563 |
L(r)(E,1)/r! |
Ω |
0.25506087798009 |
Real period |
R |
11.27931668477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61320w1 |
Quadratic twists by: -4 |