Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
20475000000 = 26 · 32 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1300,16250] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1350:1] |
Generators of the group modulo torsion |
j |
3799337068864/319921875 |
j-invariant |
L |
9.020790430015 |
L(r)(E,1)/r! |
Ω |
1.185099741897 |
Real period |
R |
1.9029601697759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360x1 43680a3 |
Quadratic twists by: -4 8 |