Atkin-Lehner |
2- 3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558be |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-1429446232704 = -1 · 27 · 3 · 73 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1739,-49573] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5436:1] |
Generators of the group modulo torsion |
j |
581576499896111/1429446232704 |
j-invariant |
L |
6.4743314247752 |
L(r)(E,1)/r! |
Ω |
0.44030444829634 |
Real period |
R |
0.11670012177965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100674p1 |
Quadratic twists by: -3 |