Atkin-Lehner |
3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33759c |
Isogeny class |
Conductor |
33759 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1438756016460543 = -1 · 39 · 119 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 11+ 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11230,-1769336] |
[a1,a2,a3,a4,a6] |
Generators |
[4346112100:62492618272:20796875] |
Generators of the group modulo torsion |
j |
3375/31 |
j-invariant |
L |
4.0102252285621 |
L(r)(E,1)/r! |
Ω |
0.23692180789391 |
Real period |
R |
16.926365977918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33759a1 33759b1 |
Quadratic twists by: -3 -11 |