Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4920a |
Isogeny class |
Conductor |
4920 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-7084800000 = -1 · 211 · 33 · 55 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 2 4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1000,-12500] |
[a1,a2,a3,a4,a6] |
j |
-54054018002/3459375 |
j-invariant |
L |
2.1144598673236 |
L(r)(E,1)/r! |
Ω |
0.42289197346471 |
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 |
9840h1 39360y1 14760q1 24600ba1 |
Quadratic twists by: -4 8 -3 5 |