Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
23360j |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
12247367680 = 225 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 1 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1665,25055] |
[a1,a2,a3,a4,a6] |
Generators |
[13:76:1] |
Generators of the group modulo torsion |
j |
1948441249/46720 |
j-invariant |
L |
6.6035505509165 |
L(r)(E,1)/r! |
Ω |
1.2650673013554 |
Real period |
R |
2.6099601751787 |
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 |
23360bc1 730i1 116800f1 |
Quadratic twists by: -4 8 5 |