Atkin-Lehner |
2- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
88880n |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-33313077248000 = -1 · 214 · 53 · 115 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11- -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7624,104560] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:242:1] [-4:272:1] |
Generators of the group modulo torsion |
j |
11963423082311/8133075500 |
j-invariant |
L |
7.0219389064032 |
L(r)(E,1)/r! |
Ω |
0.41305863510912 |
Real period |
R |
0.84999299249184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110b1 |
Quadratic twists by: -4 |