Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bc |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
681408 |
Modular degree for the optimal curve |
Δ |
-2185403781363075 = -1 · 37 · 52 · 72 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82982,-9506349] |
[a1,a2,a3,a4,a6] |
Generators |
[3089982:1231679:9261] |
Generators of the group modulo torsion |
j |
-1581032089/54675 |
j-invariant |
L |
6.8062449383095 |
L(r)(E,1)/r! |
Ω |
0.14035919927947 |
Real period |
R |
8.0819365679209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215bt1 124215j1 |
Quadratic twists by: -7 13 |