Atkin-Lehner |
5- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122815j |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-4.5485074340686E+19 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 11- 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1198545,599900131] |
[a1,a2,a3,a4,a6] |
Generators |
[535:-10588:1] |
Generators of the group modulo torsion |
j |
-107480826403618816/25675138671875 |
j-invariant |
L |
6.6875303607079 |
L(r)(E,1)/r! |
Ω |
0.19265158729503 |
Real period |
R |
0.96425228398969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999557727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165d1 |
Quadratic twists by: -11 |