Atkin-Lehner |
5+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78925d |
Isogeny class |
Conductor |
78925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38448 |
Modular degree for the optimal curve |
Δ |
467946325 = 52 · 73 · 113 · 41 |
Discriminant |
Eigenvalues |
-2 1 5+ 7+ 11- 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-208,-576] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
40000000000/18717853 |
j-invariant |
L |
4.0542894351945 |
L(r)(E,1)/r! |
Ω |
1.3149173911397 |
Real period |
R |
1.0277678435189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78925o1 |
Quadratic twists by: 5 |