Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800p |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-7443100000000 = -1 · 28 · 58 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4825,-24250] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1000:1] |
Generators of the group modulo torsion |
j |
3105672624/1860775 |
j-invariant |
L |
6.0832146949205 |
L(r)(E,1)/r! |
Ω |
0.4329519689531 |
Real period |
R |
1.7563191556733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43400a1 17360m1 |
Quadratic twists by: -4 5 |