Atkin-Lehner |
2+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
107920a |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
543744 |
Modular degree for the optimal curve |
Δ |
-15450302048000000 = -1 · 211 · 56 · 19 · 714 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 -5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,57664,2693536] |
[a1,a2,a3,a4,a6] |
Generators |
[11666:1260250:1] |
Generators of the group modulo torsion |
j |
10353817918076542/7544092796875 |
j-invariant |
L |
4.0132752679822 |
L(r)(E,1)/r! |
Ω |
0.25025584022459 |
Real period |
R |
2.0045862354431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999171609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53960e1 |
Quadratic twists by: -4 |