Atkin-Lehner |
2+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15904a |
Isogeny class |
Conductor |
15904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-2035712 = -1 · 212 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-593,-5761] |
[a1,a2,a3,a4,a6] |
Generators |
[410:8297:1] |
Generators of the group modulo torsion |
j |
-5639752000/497 |
j-invariant |
L |
5.852965563299 |
L(r)(E,1)/r! |
Ω |
0.48366267770144 |
Real period |
R |
6.0506690232071 |
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 |
15904f1 31808q1 111328h1 |
Quadratic twists by: -4 8 -7 |