Atkin-Lehner |
7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112651i |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-26542559722063 = -1 · 73 · 118 · 192 |
Discriminant |
Eigenvalues |
1 -2 0 7- 11- 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3264,237521] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:484:1] |
Generators of the group modulo torsion |
j |
6331625/43681 |
j-invariant |
L |
4.268216079404 |
L(r)(E,1)/r! |
Ω |
0.48570708030594 |
Real period |
R |
2.1969085205789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112651m1 10241g1 |
Quadratic twists by: -7 -11 |