Atkin-Lehner |
2+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58960a |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
636160 |
Modular degree for the optimal curve |
Δ |
-895773804738560 = -1 · 211 · 5 · 117 · 672 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 11- 4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130483,18198802] |
[a1,a2,a3,a4,a6] |
Generators |
[317:-2948:1] [-211:6028:1] |
Generators of the group modulo torsion |
j |
-119965276550983698/437389553095 |
j-invariant |
L |
5.6509034988492 |
L(r)(E,1)/r! |
Ω |
0.50061067621463 |
Real period |
R |
0.20157179190385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29480a1 |
Quadratic twists by: -4 |