Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bv |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1.7689452673842E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11- -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-614763,274686957] |
[a1,a2,a3,a4,a6] |
Generators |
[157:13413:1] |
Generators of the group modulo torsion |
j |
-3451273/2376 |
j-invariant |
L |
6.1516045767929 |
L(r)(E,1)/r! |
Ω |
0.20152789288764 |
Real period |
R |
3.8156036850097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574co1 106722dq1 9702bp1 |
Quadratic twists by: -3 -7 -11 |