Atkin-Lehner |
2+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850n |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-254464000000000 = -1 · 218 · 59 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-111825,14367125] |
[a1,a2,a3,a4,a6] |
Generators |
[386:5183:1] |
Generators of the group modulo torsion |
j |
-79180175843621/130285568 |
j-invariant |
L |
5.9004847084569 |
L(r)(E,1)/r! |
Ω |
0.55335579300345 |
Real period |
R |
2.6657734422689 |
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 |
24850bb1 |
Quadratic twists by: 5 |