Atkin-Lehner |
7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3311c |
Isogeny class |
Conductor |
3311 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
-76739047 = -1 · 73 · 112 · 432 |
Discriminant |
Eigenvalues |
1 2 0 7- 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150,-889] |
[a1,a2,a3,a4,a6] |
Generators |
[310:1693:8] |
Generators of the group modulo torsion |
j |
-377149515625/76739047 |
j-invariant |
L |
5.5186672410541 |
L(r)(E,1)/r! |
Ω |
0.67412960315057 |
Real period |
R |
2.7287864802566 |
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 |
52976s1 29799i1 82775b1 23177c1 |
Quadratic twists by: -4 -3 5 -7 |