Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bl |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
-2.7358228757843E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3486250,237337500] |
[a1,a2,a3,a4,a6] |
Generators |
[655:52610:1] |
Generators of the group modulo torsion |
j |
1399064033279/816820200 |
j-invariant |
L |
3.5328096855008 |
L(r)(E,1)/r! |
Ω |
0.086825686204424 |
Real period |
R |
1.3562843676926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000164468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cv1 127050fs1 |
Quadratic twists by: 5 -11 |