Atkin-Lehner |
2- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
113398h |
Isogeny class |
Conductor |
113398 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-104725434358 = -1 · 2 · 316 · 59 |
Discriminant |
Eigenvalues |
2- -2 -2 -3 1 3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3864,93430] |
[a1,a2,a3,a4,a6] |
Generators |
[454:1695:8] |
Generators of the group modulo torsion |
j |
-7189057/118 |
j-invariant |
L |
3.9834304863908 |
L(r)(E,1)/r! |
Ω |
1.0619185831454 |
Real period |
R |
1.875581886153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999200625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118c1 |
Quadratic twists by: -31 |