Atkin-Lehner |
2+ 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bk |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
246530165490000 = 24 · 313 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42402,-3274679] |
[a1,a2,a3,a4,a6] |
j |
722828430874624/21135988125 |
j-invariant |
L |
5.332727141363 |
L(r)(E,1)/r! |
Ω |
0.33329547837786 |
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 |
39480bb1 |
Quadratic twists by: -3 |