Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984by |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-405701180027338752 = -1 · 215 · 36 · 198 |
Discriminant |
Eigenvalues |
2- 3- 0 4 3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,102885,-27888694] |
[a1,a2,a3,a4,a6] |
Generators |
[13547380647723023:392633169490060342:18003268247329] |
Generators of the group modulo torsion |
j |
2375/8 |
j-invariant |
L |
8.1035769591148 |
L(r)(E,1)/r! |
Ω |
0.15269481790104 |
Real period |
R |
26.535206205776 |
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 |
6498s1 5776i1 51984cm1 |
Quadratic twists by: -4 -3 -19 |