Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304bv |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.9884014896938E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -2 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-388341,-233759763] |
[a1,a2,a3,a4,a6] |
Generators |
[2196:97461:1] |
Generators of the group modulo torsion |
j |
-3360132358144/10315633419 |
j-invariant |
L |
4.9135349090525 |
L(r)(E,1)/r! |
Ω |
0.088303657248434 |
Real period |
R |
2.7821808923332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998995791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304ia1 7644e1 17472v1 |
Quadratic twists by: -4 8 -7 |