Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890l |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
174182400 |
Modular degree for the optimal curve |
Δ |
1.0380066902469E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3088119120,-64207107778304] |
[a1,a2,a3,a4,a6] |
Generators |
[-9898345952235904:-330394915689799120:288411730543] |
Generators of the group modulo torsion |
j |
1025306807522344388849109483/32677449218750000000000 |
j-invariant |
L |
5.2124159338201 |
L(r)(E,1)/r! |
Ω |
0.020291951068856 |
Real period |
R |
21.405925630147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999773118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890ds3 18270k1 |
Quadratic twists by: -3 -7 |