Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608db |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2351897247744 = -1 · 227 · 33 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-769,-74497] |
[a1,a2,a3,a4,a6] |
Generators |
[641:16224:1] |
Generators of the group modulo torsion |
j |
-192100033/8971776 |
j-invariant |
L |
10.917398215166 |
L(r)(E,1)/r! |
Ω |
0.35817347606951 |
Real period |
R |
5.0801259635383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608w1 31152u1 |
Quadratic twists by: -4 8 |