Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700ba |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-2545228654116750000 = -1 · 24 · 313 · 56 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25500,76773625] |
[a1,a2,a3,a4,a6] |
j |
-10061824000/13965589323 |
j-invariant |
L |
2.4840356603721 |
L(r)(E,1)/r! |
Ω |
0.2070030046469 |
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 |
39900r1 4788a1 |
Quadratic twists by: -3 5 |