Atkin-Lehner |
2- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
24050y |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-36167508325000000 = -1 · 26 · 58 · 134 · 373 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1244763,534512017] |
[a1,a2,a3,a4,a6] |
Generators |
[-1248:12649:1] |
Generators of the group modulo torsion |
j |
-546039061007563345/92588821312 |
j-invariant |
L |
4.2245988434513 |
L(r)(E,1)/r! |
Ω |
0.35464524209636 |
Real period |
R |
0.49634093712906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24050c1 |
Quadratic twists by: 5 |