Atkin-Lehner |
2+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118490k |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-275911723725200000 = -1 · 27 · 55 · 177 · 412 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 -2 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13666864,-19443546752] |
[a1,a2,a3,a4,a6] |
Generators |
[61587:15224794:1] |
Generators of the group modulo torsion |
j |
-11695985466628852089/11430800000 |
j-invariant |
L |
3.4870476134685 |
L(r)(E,1)/r! |
Ω |
0.039260182481557 |
Real period |
R |
4.4409467898394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6970d1 |
Quadratic twists by: 17 |