Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050eh |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
22256640 |
Modular degree for the optimal curve |
Δ |
-8.9307985162445E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49071201,-139907217452] |
[a1,a2,a3,a4,a6] |
Generators |
[50603:11242122:1] |
Generators of the group modulo torsion |
j |
-276476584904058483505/18894912563294208 |
j-invariant |
L |
6.5529968173956 |
L(r)(E,1)/r! |
Ω |
0.028408901804724 |
Real period |
R |
2.5072502959244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999834231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ff1 127050iq1 |
Quadratic twists by: 5 -11 |