Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722cg |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-1198849765427218674 = -1 · 2 · 313 · 710 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,64377,-52318953] |
[a1,a2,a3,a4,a6] |
Generators |
[2620122:287312713:216] |
Generators of the group modulo torsion |
j |
107653/4374 |
j-invariant |
L |
6.2033996934468 |
L(r)(E,1)/r! |
Ω |
0.13135672130607 |
Real period |
R |
11.806399429119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574ct1 106722bl1 106722gb1 |
Quadratic twists by: -3 -7 -11 |