Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bj |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-161408422662353724 = -1 · 22 · 3 · 118 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133345,26912576] |
[a1,a2,a3,a4,a6] |
Generators |
[249291:5953618:343] |
Generators of the group modulo torsion |
j |
-30664297/18876 |
j-invariant |
L |
9.423205179605 |
L(r)(E,1)/r! |
Ω |
0.29917973967121 |
Real period |
R |
7.8742006849332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999315057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154bd1 9438bc1 |
Quadratic twists by: -11 13 |