Atkin-Lehner |
2- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
124600w |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-19936000 = -1 · 28 · 53 · 7 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1468,21168] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-10:1] [22:2:1] |
Generators of the group modulo torsion |
j |
-10940765456/623 |
j-invariant |
L |
7.4581996744187 |
L(r)(E,1)/r! |
Ω |
2.0475797367402 |
Real period |
R |
0.45530581383419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124600m1 |
Quadratic twists by: 5 |