Atkin-Lehner |
2- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360q |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-106187161600000 = -1 · 218 · 55 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -1 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4187,506634] |
[a1,a2,a3,a4,a6] |
Generators |
[413:8320:1] [23:-650:1] |
Generators of the group modulo torsion |
j |
-1981858514481/25924600000 |
j-invariant |
L |
10.161928410667 |
L(r)(E,1)/r! |
Ω |
0.5048334197895 |
Real period |
R |
0.33548783989321 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670j1 |
Quadratic twists by: -4 |