Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150u |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
734400 |
Modular degree for the optimal curve |
Δ |
-130366033920000 = -1 · 215 · 32 · 54 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 0 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10075,-383475] |
[a1,a2,a3,a4,a6] |
Generators |
[65:710:1] |
Generators of the group modulo torsion |
j |
255811175/294912 |
j-invariant |
L |
6.2768857434006 |
L(r)(E,1)/r! |
Ω |
0.31498219694248 |
Real period |
R |
3.3212912602253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150dd1 126150di1 |
Quadratic twists by: 5 29 |