Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300f |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
486000 |
Modular degree for the optimal curve |
Δ |
-360964691718750000 = -1 · 24 · 315 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118333,-32839838] |
[a1,a2,a3,a4,a6] |
Generators |
[12432681934219481743993839686:121390522380712010955398864202:25763572627171631724310327] |
Generators of the group modulo torsion |
j |
-1172802764800/2310174027 |
j-invariant |
L |
5.5162949475276 |
L(r)(E,1)/r! |
Ω |
0.12100251627904 |
Real period |
R |
45.588266402715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300bc1 |
Quadratic twists by: 5 |