Atkin-Lehner |
7+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121849a |
Isogeny class |
Conductor |
121849 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
316691765299 = 72 · 137 · 103 |
Discriminant |
Eigenvalues |
1 1 1 7+ 0 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78758,-8513711] |
[a1,a2,a3,a4,a6] |
Generators |
[4142:73637:8] |
Generators of the group modulo torsion |
j |
11192824869409/65611 |
j-invariant |
L |
8.5018525681414 |
L(r)(E,1)/r! |
Ω |
0.28498808182754 |
Real period |
R |
3.7290386280969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9373c1 |
Quadratic twists by: 13 |