Atkin-Lehner |
2+ 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
85358l |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
-341432 = -1 · 23 · 72 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 0 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-457,3877] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:92:1] [11:4:1] |
Generators of the group modulo torsion |
j |
-215680397625/6968 |
j-invariant |
L |
5.0467007247071 |
L(r)(E,1)/r! |
Ω |
2.8342235504951 |
Real period |
R |
1.7806290277213 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85358a1 |
Quadratic twists by: -7 |