Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ck |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
-11095990455880512 = -1 · 26 · 34 · 78 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -3 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2551348,1567723562] |
[a1,a2,a3,a4,a6] |
Generators |
[941:1014:1] |
Generators of the group modulo torsion |
j |
-4978158127432000/30074733 |
j-invariant |
L |
8.5637771913923 |
L(r)(E,1)/r! |
Ω |
0.35979475609761 |
Real period |
R |
1.1900919984368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304b1 61152a1 122304m1 |
Quadratic twists by: -4 8 -7 |