Atkin-Lehner |
5- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122815i |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-147761796875 = -1 · 57 · 72 · 113 · 29 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 11+ -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21435,1200931] |
[a1,a2,a3,a4,a6] |
Generators |
[55:437:1] [650:381:8] |
Generators of the group modulo torsion |
j |
-818344901574656/111015625 |
j-invariant |
L |
12.108153654542 |
L(r)(E,1)/r! |
Ω |
0.99301092248586 |
Real period |
R |
0.43547764641731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999930615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122815p1 |
Quadratic twists by: -11 |