Atkin-Lehner |
2- 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33930t |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
deg |
4717440 |
Modular degree for the optimal curve |
Δ |
-3.6611527281835E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67356623,214773134231] |
[a1,a2,a3,a4,a6] |
Generators |
[7965:424432:1] |
Generators of the group modulo torsion |
j |
-1251701744499641551742491347/13559824919198275993600 |
j-invariant |
L |
9.1766094013538 |
L(r)(E,1)/r! |
Ω |
0.095896936859796 |
Real period |
R |
1.1391954070007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33930f2 |
Quadratic twists by: -3 |