Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304b |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
30 |
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] |
j |
-4978158127432000/30074733 |
j-invariant |
L |
1.7918350195893 |
L(r)(E,1)/r! |
Ω |
0.059727861080187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304ck1 61152bp1 122304ct1 |
Quadratic twists by: -4 8 -7 |