Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030s |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-2.1442794678957E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25815478,50484037448] |
[a1,a2,a3,a4,a6] |
j |
-1902673198013216663060895961/21442794678956851200 |
j-invariant |
L |
1.560693458677 |
L(r)(E,1)/r! |
Ω |
0.19508668233505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090cv1 |
Quadratic twists by: -3 |