Atkin-Lehner |
2- 3+ 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760o |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-725256576000 = -1 · 210 · 32 · 53 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,824,39676] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:154:1] |
Generators of the group modulo torsion |
j |
60350132444/708258375 |
j-invariant |
L |
5.8036975721045 |
L(r)(E,1)/r! |
Ω |
0.66557928706195 |
Real period |
R |
2.1799422266314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520k1 |
Quadratic twists by: -4 |