Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320n |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-3091200 = -1 · 28 · 3 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,85] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
-1024/12075 |
j-invariant |
L |
4.1155816549674 |
L(r)(E,1)/r! |
Ω |
2.0219689864096 |
Real period |
R |
0.50885815789334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38640r1 57960ba1 96600bd1 |
Quadratic twists by: -4 -3 5 |