Atkin-Lehner |
2+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650d |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
186747453440000000 = 224 · 57 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-336900,-72478000] |
[a1,a2,a3,a4,a6] |
Generators |
[124861062648:-24815201990396:3176523] |
Generators of the group modulo torsion |
j |
270650437376298049/11951837020160 |
j-invariant |
L |
6.5213318862486 |
L(r)(E,1)/r! |
Ω |
0.19870482864959 |
Real period |
R |
16.409595908081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930g1 |
Quadratic twists by: 5 |