Atkin-Lehner |
2+ 3+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746a |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9431040 |
Modular degree for the optimal curve |
Δ |
-1.6088029765668E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7034298,9425464244] |
[a1,a2,a3,a4,a6] |
Generators |
[554519446348:-17037760111014:353393243] |
Generators of the group modulo torsion |
j |
-1955666257617669475059/817356590238662656 |
j-invariant |
L |
3.5821020529895 |
L(r)(E,1)/r! |
Ω |
0.11611515043529 |
Real period |
R |
15.424783434236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999874915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109746l1 |
Quadratic twists by: -3 |