Atkin-Lehner |
23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
851a |
Isogeny class |
Conductor |
851 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88 |
Modular degree for the optimal curve |
Δ |
19573 = 232 · 37 |
Discriminant |
Eigenvalues |
-2 1 0 -3 1 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-28,48] |
[a1,a2,a3,a4,a6] |
Generators |
[6:11:1] |
Generators of the group modulo torsion |
j |
2515456000/19573 |
j-invariant |
L |
1.403960360018 |
L(r)(E,1)/r! |
Ω |
3.8742025615056 |
Real period |
R |
0.18119346339397 |
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 |
13616h1 54464f1 7659c1 21275b1 |
Quadratic twists by: -4 8 -3 5 |