Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550q |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-204826218750 = -1 · 2 · 311 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,424,21548] |
[a1,a2,a3,a4,a6] |
Generators |
[42:316:1] |
Generators of the group modulo torsion |
j |
541343375/13108878 |
j-invariant |
L |
3.2326065701606 |
L(r)(E,1)/r! |
Ω |
0.75168011189427 |
Real period |
R |
0.19547765060558 |
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 |
44400bj1 16650ce1 222b1 |
Quadratic twists by: -4 -3 5 |