Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3504m |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-4541184 = -1 · 28 · 35 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 4 -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,-191] |
[a1,a2,a3,a4,a6] |
j |
-99672064/17739 |
j-invariant |
L |
1.6896097406815 |
L(r)(E,1)/r! |
Ω |
0.84480487034075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
876b1 14016bt1 10512n1 87600cm1 |
Quadratic twists by: -4 8 -3 5 |