Atkin-Lehner |
7- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
121849h |
Isogeny class |
Conductor |
121849 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
220416 |
Modular degree for the optimal curve |
Δ |
316691765299 = 72 · 137 · 103 |
Discriminant |
Eigenvalues |
1 -3 1 7- 2 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2989,57526] |
[a1,a2,a3,a4,a6] |
Generators |
[10:164:1] |
Generators of the group modulo torsion |
j |
611960049/65611 |
j-invariant |
L |
4.9011838093231 |
L(r)(E,1)/r! |
Ω |
0.936951707887 |
Real period |
R |
1.3077471705513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9373b1 |
Quadratic twists by: 13 |