Atkin-Lehner |
2- 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
108560t |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
418176 |
Modular degree for the optimal curve |
Δ |
-752723427328000 = -1 · 223 · 53 · 233 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -1 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34040,-2765612] |
[a1,a2,a3,a4,a6] |
Generators |
[966:29440:1] |
Generators of the group modulo torsion |
j |
-1064989133917561/183770368000 |
j-invariant |
L |
3.2893350092127 |
L(r)(E,1)/r! |
Ω |
0.17409975283661 |
Real period |
R |
0.52481647200163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998755081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570a1 |
Quadratic twists by: -4 |