Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fw |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
9.0515259039744E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2997838,1375739531] |
[a1,a2,a3,a4,a6] |
Generators |
[-1135:58167:1] |
Generators of the group modulo torsion |
j |
107639597521009/32699842560 |
j-invariant |
L |
7.3744602335132 |
L(r)(E,1)/r! |
Ω |
0.14597370017155 |
Real period |
R |
1.2629775483778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928145 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410bg1 11550g1 |
Quadratic twists by: 5 -11 |