Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800c |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-205962976000000000 = -1 · 214 · 59 · 235 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 6 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,146800,-2844000] |
[a1,a2,a3,a4,a6] |
Generators |
[170440:4662125:512] |
Generators of the group modulo torsion |
j |
1366664500224/804542875 |
j-invariant |
L |
5.7554632300911 |
L(r)(E,1)/r! |
Ω |
0.18595389543005 |
Real period |
R |
7.7377556635488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800cn1 4600h1 7360d1 |
Quadratic twists by: -4 8 5 |