Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850v |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-2485000000 = -1 · 26 · 57 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130,2497] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:55:1] |
Generators of the group modulo torsion |
j |
-15438249/159040 |
j-invariant |
L |
7.9739985826865 |
L(r)(E,1)/r! |
Ω |
1.2337884326787 |
Real period |
R |
0.26929247522925 |
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 |
4970b1 |
Quadratic twists by: 5 |