Atkin-Lehner |
5+ 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78925j |
Isogeny class |
Conductor |
78925 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
801792 |
Modular degree for the optimal curve |
Δ |
-15640175338046875 = -1 · 57 · 79 · 112 · 41 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 11- -6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,25075,5819656] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:1886:1] [290:20821:8] |
Generators of the group modulo torsion |
j |
111590316969984/1000971221635 |
j-invariant |
L |
5.559323454852 |
L(r)(E,1)/r! |
Ω |
0.28768119254463 |
Real period |
R |
0.53679439434523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15785c1 |
Quadratic twists by: 5 |