Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552o |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5170176 |
Modular degree for the optimal curve |
Δ |
-7.6895650889408E+23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -2 -7 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-237925185,-1413116572527] |
[a1,a2,a3,a4,a6] |
Generators |
[2137470804718133166840151813988452880028863403125570122490332589:-4330290024106430286534985436477803005715106849019142224625528897216:520787266232883604117471225918966003118901745788247388551] |
Generators of the group modulo torsion |
j |
-363651189931905378317079616/187733522679218010621 |
j-invariant |
L |
3.9054322453748 |
L(r)(E,1)/r! |
Ω |
0.019219673565512 |
Real period |
R |
101.59985891703 |
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 |
27552ba1 55104cy1 82656g1 |
Quadratic twists by: -4 8 -3 |