Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728dq |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-52179106416869376 = -1 · 214 · 38 · 7 · 375 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57365,-12177267] |
[a1,a2,a3,a4,a6] |
j |
-1274243237085184/3184759913139 |
j-invariant |
L |
1.4367180254852 |
L(r)(E,1)/r! |
Ω |
0.14367180259817 |
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 |
49728bs1 12432bu1 |
Quadratic twists by: -4 8 |