Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3330a |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-58261680000 = -1 · 27 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -1 -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,930,-4204] |
[a1,a2,a3,a4,a6] |
Generators |
[43:316:1] |
Generators of the group modulo torsion |
j |
4516672077/2960000 |
j-invariant |
L |
2.1937906152462 |
L(r)(E,1)/r! |
Ω |
0.63490097303108 |
Real period |
R |
0.86383180544394 |
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 |
26640r1 106560w1 3330p1 16650br1 |
Quadratic twists by: -4 8 -3 5 |