Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900bm |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
702 |
Product of Tamagawa factors cp |
deg |
4155840 |
Modular degree for the optimal curve |
Δ |
-2.7488690267235E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12900542,17843700713] |
[a1,a2,a3,a4,a6] |
Generators |
[-967:66825:1] |
Generators of the group modulo torsion |
j |
37989845922828028160/43981904427576687 |
j-invariant |
L |
7.7289724444426 |
L(r)(E,1)/r! |
Ω |
0.065219360912665 |
Real period |
R |
0.16881386298422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700bg1 42900g1 |
Quadratic twists by: -3 5 |