Atkin-Lehner |
2- 3- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510bk |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1884960 |
Modular degree for the optimal curve |
Δ |
1177899473994750 = 2 · 36 · 53 · 137 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 3 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1249367,537815409] |
[a1,a2,a3,a4,a6] |
j |
295846168874848406569/1615774312750 |
j-invariant |
L |
9.0803681680279 |
L(r)(E,1)/r! |
Ω |
0.43239847501899 |
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 |
13390b1 |
Quadratic twists by: -3 |