Atkin-Lehner |
2+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800bl |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
2411724800000000 = 228 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 -5 -7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36833,-1361537] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:400:1] [-141:1024:1] |
Generators of the group modulo torsion |
j |
53969305/23552 |
j-invariant |
L |
6.2278244641346 |
L(r)(E,1)/r! |
Ω |
0.35865616613881 |
Real period |
R |
1.4470276019466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800dp1 1150c1 36800y1 |
Quadratic twists by: -4 8 5 |