Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24440h |
Isogeny class |
Conductor |
24440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-30550000 = -1 · 24 · 55 · 13 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -4 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20,-275] |
[a1,a2,a3,a4,a6] |
Generators |
[10:25:1] |
Generators of the group modulo torsion |
j |
-58107136/1909375 |
j-invariant |
L |
3.8634780913998 |
L(r)(E,1)/r! |
Ω |
0.90938373035668 |
Real period |
R |
0.42484574579803 |
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 |
48880g1 122200d1 |
Quadratic twists by: -4 5 |