Atkin-Lehner |
2+ 3+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
22914a |
Isogeny class |
Conductor |
22914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
31199901843456 = 216 · 39 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11301,-373483] |
[a1,a2,a3,a4,a6] |
Generators |
[131:552:1] |
Generators of the group modulo torsion |
j |
8109697613571/1585119232 |
j-invariant |
L |
3.5410613299576 |
L(r)(E,1)/r! |
Ω |
0.46934637709146 |
Real period |
R |
3.7723326553638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22914h1 |
Quadratic twists by: -3 |