Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496g |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-9297496658128896 = -1 · 212 · 321 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -4 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-436152,110964688] |
[a1,a2,a3,a4,a6] |
j |
-3072909999983104/3113712819 |
j-invariant |
L |
1.6323737820603 |
L(r)(E,1)/r! |
Ω |
0.40809344640689 |
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 |
62496s1 124992el1 20832bd1 |
Quadratic twists by: -4 8 -3 |