Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530s |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-1.5778212215724E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -7 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7421400,-7803320000] |
[a1,a2,a3,a4,a6] |
j |
-62008858471273416662401/216436381560000000 |
j-invariant |
L |
0.91450764475942 |
L(r)(E,1)/r! |
Ω |
0.045725382237971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510s1 97650dn1 |
Quadratic twists by: -3 5 |