Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bl |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-208324872000000000 = -1 · 212 · 312 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93300,-19024000] |
[a1,a2,a3,a4,a6] |
Generators |
[310:6300:1] |
Generators of the group modulo torsion |
j |
1925134784/4465125 |
j-invariant |
L |
6.2050419223098 |
L(r)(E,1)/r! |
Ω |
0.16389378747267 |
Real period |
R |
2.3662588199604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400w2 100800ng1 16800bh2 10080bl2 |
Quadratic twists by: -4 8 -3 5 |