Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bd |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-145818077445734400 = -1 · 214 · 314 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55944,-19051200] |
[a1,a2,a3,a4,a6] |
Generators |
[399:4494:1] |
Generators of the group modulo torsion |
j |
-26562019806177409/200024797593600 |
j-invariant |
L |
4.2002689708177 |
L(r)(E,1)/r! |
Ω |
0.1371993446468 |
Real period |
R |
3.8267939449991 |
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 |
6510v1 97650dh1 |
Quadratic twists by: -3 5 |