Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975p |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
145738572890625 = 34 · 57 · 116 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-332813,-74037094] |
[a1,a2,a3,a4,a6] |
Generators |
[18030:29684:27] |
Generators of the group modulo torsion |
j |
147281603041/5265 |
j-invariant |
L |
2.980277449356 |
L(r)(E,1)/r! |
Ω |
0.19876980374955 |
Real period |
R |
7.4968063791218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999459886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595n1 975a1 |
Quadratic twists by: 5 -11 |