Atkin-Lehner |
2- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63920m |
Isogeny class |
Conductor |
63920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
2781798400000 = 216 · 55 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3 5- 5 3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9667,-356926] |
[a1,a2,a3,a4,a6] |
j |
24391523087001/679150000 |
j-invariant |
L |
9.6459565179812 |
L(r)(E,1)/r! |
Ω |
0.48229782590386 |
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 |
7990c1 |
Quadratic twists by: -4 |