Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960ce |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
21365228914606080 = 236 · 33 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125480,-15554448] |
[a1,a2,a3,a4,a6] |
j |
53344635908334121/5216120340480 |
j-invariant |
L |
2.0420567606462 |
L(r)(E,1)/r! |
Ω |
0.25525709600782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870i1 |
Quadratic twists by: -4 |