Atkin-Lehner |
7- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123403g |
Isogeny class |
Conductor |
123403 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-2.6682207684604E+21 |
Discriminant |
Eigenvalues |
-1 -3 -1 7- 3 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3152502,1238119860] |
[a1,a2,a3,a4,a6] |
Generators |
[-336:12036:1] [4144:290251:1] |
Generators of the group modulo torsion |
j |
143547761786690799/110542232668931 |
j-invariant |
L |
4.4353673816329 |
L(r)(E,1)/r! |
Ω |
0.092278740282622 |
Real period |
R |
4.0054073931341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259b1 |
Quadratic twists by: 17 |