Atkin-Lehner |
3- 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025z |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
180480 |
Modular degree for the optimal curve |
Δ |
-205581796875 = -1 · 35 · 57 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,842,-19406] |
[a1,a2,a3,a4,a6] |
Generators |
[38:262:1] [154:521:8] |
Generators of the group modulo torsion |
j |
4220112896/13157235 |
j-invariant |
L |
7.2307533115753 |
L(r)(E,1)/r! |
Ω |
0.51251329839153 |
Real period |
R |
0.35271052166646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23205d1 |
Quadratic twists by: 5 |