Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-3984288000000 = -1 · 211 · 3 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-613,-96469] |
[a1,a2,a3,a4,a6] |
Generators |
[55:172:1] |
Generators of the group modulo torsion |
j |
-13475473/2107392 |
j-invariant |
L |
8.4851027013427 |
L(r)(E,1)/r! |
Ω |
0.34812628381692 |
Real period |
R |
1.107892455107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082m1 127050u1 |
Quadratic twists by: 5 -11 |