Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341w |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
3.0927404357707E+21 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-77728393,-263758197760] |
[a1,a2,a3,a4,a6] |
Generators |
[58055:-13845400:1] |
Generators of the group modulo torsion |
j |
151414915768565547676252375/9016735964346008919 |
j-invariant |
L |
4.7655617898518 |
L(r)(E,1)/r! |
Ω |
0.050845928708887 |
Real period |
R |
1.5620922222392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103341f1 |
Quadratic twists by: -7 |