Atkin-Lehner |
2- 3- 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702t |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
933888 |
Modular degree for the optimal curve |
Δ |
1.5485478709839E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1345593,-49930119] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:21939:1] |
Generators of the group modulo torsion |
j |
269441749582961601444625/154854787098385317888 |
j-invariant |
L |
9.966077567961 |
L(r)(E,1)/r! |
Ω |
0.15235818654524 |
Real period |
R |
0.51103247396933 |
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 |
92106p1 |
Quadratic twists by: -3 |