Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300o |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
410868728802000 = 24 · 312 · 53 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-643053,198692802] |
[a1,a2,a3,a4,a6] |
Generators |
[382:2940:1] |
Generators of the group modulo torsion |
j |
14703973041830494208/205434364401 |
j-invariant |
L |
5.4138753640265 |
L(r)(E,1)/r! |
Ω |
0.48529604235966 |
Real period |
R |
2.231164028325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48300ba1 |
Quadratic twists by: 5 |