Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890n |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1175210273002500000 = -1 · 25 · 39 · 57 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-863340,-312918544] |
[a1,a2,a3,a4,a6] |
Generators |
[9725:949584:1] |
Generators of the group modulo torsion |
j |
-30731945295267/507500000 |
j-invariant |
L |
4.2583759473032 |
L(r)(E,1)/r! |
Ω |
0.078234477841202 |
Real period |
R |
6.8038670967609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890du1 18270g1 |
Quadratic twists by: -3 -7 |