Atkin-Lehner |
2- 3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390bb |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
2872332900 = 22 · 36 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-938,10981] |
[a1,a2,a3,a4,a6] |
Generators |
[5:77:1] |
Generators of the group modulo torsion |
j |
125075015001/3940100 |
j-invariant |
L |
11.864807109675 |
L(r)(E,1)/r! |
Ω |
1.4227485316734 |
Real period |
R |
2.0848391019224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710f1 |
Quadratic twists by: -3 |