Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27830l |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-1649394153440000000 = -1 · 211 · 57 · 117 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 11- 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-771377,-268306859] |
[a1,a2,a3,a4,a6] |
Generators |
[3207:172334:1] |
Generators of the group modulo torsion |
j |
-28652896908918001/931040000000 |
j-invariant |
L |
3.3676088100001 |
L(r)(E,1)/r! |
Ω |
0.080393881833775 |
Real period |
R |
1.4960310470263 |
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 |
2530k1 |
Quadratic twists by: -11 |