Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150f |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.6630990848E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 3 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7027617,-7195715459] |
[a1,a2,a3,a4,a6] |
Generators |
[2177247023607965038390633886425:-18400451080180739542369008736709:704414851899670519810007021] |
Generators of the group modulo torsion |
j |
-145574126741391075/630745726976 |
j-invariant |
L |
4.5518382597846 |
L(r)(E,1)/r! |
Ω |
0.046350555162963 |
Real period |
R |
49.102305719757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30150bs2 30150cc1 |
Quadratic twists by: -3 5 |