Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18400b |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
2355200 = 212 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 -5 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1340,18880] |
[a1,a2,a3,a4,a6] |
Generators |
[21:1:1] |
Generators of the group modulo torsion |
j |
2598592320/23 |
j-invariant |
L |
4.9107400903452 |
L(r)(E,1)/r! |
Ω |
2.3287212552172 |
Real period |
R |
1.0543855515862 |
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 |
18400f1 36800bz1 18400v1 |
Quadratic twists by: -4 8 5 |