Atkin-Lehner |
2+ 3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826m |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-88412618448 = -1 · 24 · 36 · 75 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17424,889744] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-160:1] [-108:1280:1] |
Generators of the group modulo torsion |
j |
-802516169081089/121279312 |
j-invariant |
L |
6.0476104176229 |
L(r)(E,1)/r! |
Ω |
1.038659657303 |
Real period |
R |
0.29112570104677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6314g1 |
Quadratic twists by: -3 |