Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cg |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-4.2489615790439E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,42849,991741573] |
[a1,a2,a3,a4,a6] |
Generators |
[617:35091:1] |
Generators of the group modulo torsion |
j |
4733169839/231139696095 |
j-invariant |
L |
7.8293869588441 |
L(r)(E,1)/r! |
Ω |
0.13261830422847 |
Real period |
R |
4.9197500830126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275en1 8085g1 5775c1 |
Quadratic twists by: -3 5 -7 |