Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608bm |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
33100877795328 = 212 · 311 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54228,4852640] |
[a1,a2,a3,a4,a6] |
j |
5906184342976/11085417 |
j-invariant |
L |
2.626248485849 |
L(r)(E,1)/r! |
Ω |
0.65656212682298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cr1 38304p1 25536f1 |
Quadratic twists by: -4 8 -3 |