Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970i |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
49268520000 = 26 · 33 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1134,10388] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:154:1] |
Generators of the group modulo torsion |
j |
5976054062523/1824760000 |
j-invariant |
L |
3.7301962504554 |
L(r)(E,1)/r! |
Ω |
1.0458766562222 |
Real period |
R |
0.22291086072766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760cr1 11970bf1 59850do1 83790j1 |
Quadratic twists by: -4 -3 5 -7 |