Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52390d |
Isogeny class |
Conductor |
52390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-5985243160000 = -1 · 26 · 54 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11157,-473299] |
[a1,a2,a3,a4,a6] |
Generators |
[981293:5959661:6859] |
Generators of the group modulo torsion |
j |
-31824875809/1240000 |
j-invariant |
L |
6.8957827174662 |
L(r)(E,1)/r! |
Ω |
0.23173225769624 |
Real period |
R |
7.4393858520855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
310a1 |
Quadratic twists by: 13 |