Atkin-Lehner |
2+ 3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390q |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-62042390640 = -1 · 24 · 39 · 5 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,666,9828] |
[a1,a2,a3,a4,a6] |
Generators |
[4:110:1] [19:161:1] |
Generators of the group modulo torsion |
j |
44776693151/85106160 |
j-invariant |
L |
9.0553317914194 |
L(r)(E,1)/r! |
Ω |
0.76262259938779 |
Real period |
R |
5.9369679053264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130z1 |
Quadratic twists by: -3 |