Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512bh |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
792960 |
Modular degree for the optimal curve |
Δ |
-768163331561472 = -1 · 211 · 36 · 75 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22203,1843830] |
[a1,a2,a3,a4,a6] |
Generators |
[27510:224675:216] |
Generators of the group modulo torsion |
j |
-810776604402/514512691 |
j-invariant |
L |
10.033481508504 |
L(r)(E,1)/r! |
Ω |
0.46669479418725 |
Real period |
R |
7.1663406362583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999038831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168a1 |
Quadratic twists by: -3 |