Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462v |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160512 |
Modular degree for the optimal curve |
Δ |
81144188299746 = 2 · 317 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11+ 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50985,4422627] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-1185:1] [-1306:23805:8] |
Generators of the group modulo torsion |
j |
703971110401/3897234 |
j-invariant |
L |
6.4676516450284 |
L(r)(E,1)/r! |
Ω |
0.6120573565943 |
Real period |
R |
2.6417669746739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154bh1 33462ct1 |
Quadratic twists by: -3 13 |