Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720bq |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-818308915200 = -1 · 213 · 39 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2360,-61200] |
[a1,a2,a3,a4,a6] |
j |
-355045312441/199782450 |
j-invariant |
L |
2.6701642765358 |
L(r)(E,1)/r! |
Ω |
0.33377053452827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090m1 |
Quadratic twists by: -4 |