Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600br |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
129678374952000 = 26 · 39 · 53 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45008378,-116206948248] |
[a1,a2,a3,a4,a6] |
Generators |
[8441127853076628475241589454:1166540220570011138827657240447:393520443098251832115544] |
Generators of the group modulo torsion |
j |
10713357105862263488/137781 |
j-invariant |
L |
5.1774761567227 |
L(r)(E,1)/r! |
Ω |
0.058287605336882 |
Real period |
R |
44.413183408953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998920932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600hs1 117600hu1 16800y1 |
Quadratic twists by: -4 5 -7 |