Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bj |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-1770581767308046875 = -1 · 34 · 57 · 73 · 138 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -3 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,210180,52112738] |
[a1,a2,a3,a4,a6] |
Generators |
[789:-26618:1] |
Generators of the group modulo torsion |
j |
3669905408/6328125 |
j-invariant |
L |
2.6152712935878 |
L(r)(E,1)/r! |
Ω |
0.18138411277408 |
Real period |
R |
0.17164779743493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995564879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215ci1 124215l1 |
Quadratic twists by: -7 13 |