Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bb |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
15247310400 = 26 · 34 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1486,21736] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:196:1] |
Generators of the group modulo torsion |
j |
48228544/2025 |
j-invariant |
L |
4.3495851447522 |
L(r)(E,1)/r! |
Ω |
1.2325637805492 |
Real period |
R |
1.7644462758812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23520bp1 47040gt2 70560bj1 117600cq1 |
Quadratic twists by: -4 8 -3 5 |