Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400i |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
90439453125000000 = 26 · 33 · 516 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112425,-1079500] |
[a1,a2,a3,a4,a6] |
j |
5820343774272/3349609375 |
j-invariant |
L |
3.4041991641914 |
L(r)(E,1)/r! |
Ω |
0.28368326367936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400ci1 100800bf2 50400cm1 10080bj1 |
Quadratic twists by: -4 8 -3 5 |