Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878bt |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
87720192 = 28 · 33 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-183,-855] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:9:1] |
Generators of the group modulo torsion |
j |
1976656375/255744 |
j-invariant |
L |
7.8694990902838 |
L(r)(E,1)/r! |
Ω |
1.3090669309346 |
Real period |
R |
0.50096108560989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024cj1 32634bc1 10878bg1 |
Quadratic twists by: -4 -3 -7 |