Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050u |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
-7058409233568000000 = -1 · 211 · 3 · 56 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74175,128029125] |
[a1,a2,a3,a4,a6] |
Generators |
[65:11080:1] |
Generators of the group modulo torsion |
j |
-13475473/2107392 |
j-invariant |
L |
4.3707219455668 |
L(r)(E,1)/r! |
Ω |
0.19302929480588 |
Real period |
R |
3.7737984429262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082z1 127050fb1 |
Quadratic twists by: 5 -11 |