Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
7950bt |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3516825600000000000 = 224 · 34 · 511 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393463,-29754583] |
[a1,a2,a3,a4,a6] |
j |
431137155391783849/225076838400000 |
j-invariant |
L |
4.8461438960444 |
L(r)(E,1)/r! |
Ω |
0.20192266233518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63600bx1 23850p1 1590a1 |
Quadratic twists by: -4 -3 5 |