Atkin-Lehner |
5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
121835b |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-17259024265 = -1 · 5 · 75 · 593 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -5 -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1931,33106] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:167:1] [-5:209:1] |
Generators of the group modulo torsion |
j |
-3877292411/84035 |
j-invariant |
L |
3.9626555573083 |
L(r)(E,1)/r! |
Ω |
1.2312299424019 |
Real period |
R |
0.32184528841557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121835a1 |
Quadratic twists by: -59 |