Atkin-Lehner |
3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109383g |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3265920 |
Modular degree for the optimal curve |
Δ |
-4.8889249252777E+20 |
Discriminant |
Eigenvalues |
-1 3+ 2 -2 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,835888,-1021987672] |
[a1,a2,a3,a4,a6] |
Generators |
[177748491594324635442036748:-29286068085001667290784516680:6595270570939715044757] |
Generators of the group modulo torsion |
j |
1372923521441207/10391823516447 |
j-invariant |
L |
3.601886822993 |
L(r)(E,1)/r! |
Ω |
0.082389311772799 |
Real period |
R |
43.71788913119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5757e1 |
Quadratic twists by: -19 |