Atkin-Lehner |
2+ 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770b |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-1480130150400000000 = -1 · 220 · 33 · 58 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-631635,202047541] |
[a1,a2,a3,a4,a6] |
Generators |
[-297:19211:1] [102:11725:1] |
Generators of the group modulo torsion |
j |
-1032188213995927272747/54819635200000000 |
j-invariant |
L |
5.4215618371267 |
L(r)(E,1)/r! |
Ω |
0.26551025833375 |
Real period |
R |
3.4032343804401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770be1 113850dc1 |
Quadratic twists by: -3 5 |