Atkin-Lehner |
2+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5110b |
Isogeny class |
Conductor |
5110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21952 |
Modular degree for the optimal curve |
Δ |
-112174720 = -1 · 27 · 5 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 -4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-304613,64684368] |
[a1,a2,a3,a4,a6] |
Generators |
[318:-142:1] |
Generators of the group modulo torsion |
j |
-3125841581804401744201/112174720 |
j-invariant |
L |
1.9349904034464 |
L(r)(E,1)/r! |
Ω |
1.0012938959594 |
Real period |
R |
0.48312249062311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40880v1 45990ca1 25550q1 35770i1 |
Quadratic twists by: -4 -3 5 -7 |