Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23100r |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
261894124800 = 28 · 312 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4093,96383] |
[a1,a2,a3,a4,a6] |
Generators |
[29:54:1] |
Generators of the group modulo torsion |
j |
1185154785280/40920957 |
j-invariant |
L |
6.29475964508 |
L(r)(E,1)/r! |
Ω |
0.97552199833215 |
Real period |
R |
0.17924191856719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400ei1 69300bg1 23100o1 |
Quadratic twists by: -4 -3 5 |