Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850w |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-124250000 = -1 · 24 · 56 · 7 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,531] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-28:1] |
Generators of the group modulo torsion |
j |
-15625/7952 |
j-invariant |
L |
5.9732097963778 |
L(r)(E,1)/r! |
Ω |
1.5056081868276 |
Real period |
R |
0.49591336649176 |
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 |
994a1 |
Quadratic twists by: 5 |