Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24206n |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
-2187711725824352 = -1 · 25 · 79 · 13 · 194 |
Discriminant |
Eigenvalues |
2- -1 2 7- 3 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13427,2323089] |
[a1,a2,a3,a4,a6] |
Generators |
[559:12754:1] |
Generators of the group modulo torsion |
j |
-6634074439/54213536 |
j-invariant |
L |
7.818297957463 |
L(r)(E,1)/r! |
Ω |
0.3963884561759 |
Real period |
R |
0.49309571429557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24206j1 |
Quadratic twists by: -7 |