Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19740m |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
69090000 = 24 · 3 · 54 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,150] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:10:1] |
Generators of the group modulo torsion |
j |
8077950976/4318125 |
j-invariant |
L |
5.2135579328319 |
L(r)(E,1)/r! |
Ω |
1.7073008928608 |
Real period |
R |
1.5268421502714 |
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 |
78960cz1 59220m1 98700z1 |
Quadratic twists by: -4 -3 5 |