Atkin-Lehner |
2+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600a |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-179660800 = -1 · 211 · 52 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,570] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:22:1] |
Generators of the group modulo torsion |
j |
1326510/3509 |
j-invariant |
L |
7.0083705328664 |
L(r)(E,1)/r! |
Ω |
1.2623515361875 |
Real period |
R |
0.69397967965494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63800j1 127600m1 |
Quadratic twists by: -4 5 |