Atkin-Lehner |
3- 7- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557r |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-446994411403743 = -1 · 310 · 76 · 372 · 47 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2803,1014900] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:927:1] |
Generators of the group modulo torsion |
j |
3342032927351/613161058167 |
j-invariant |
L |
3.3097921938401 |
L(r)(E,1)/r! |
Ω |
0.40755231700619 |
Real period |
R |
0.67676223190772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519f1 |
Quadratic twists by: -3 |