Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640cv |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
12168954000 = 24 · 35 · 53 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10990,439775] |
[a1,a2,a3,a4,a6] |
Generators |
[35:315:1] |
Generators of the group modulo torsion |
j |
9175639100060416/760559625 |
j-invariant |
L |
10.945512293201 |
L(r)(E,1)/r! |
Ω |
1.2100647872213 |
Real period |
R |
0.20100874560288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660j1 |
Quadratic twists by: -4 |