Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400co |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
81536000000000 = 216 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19208,-934412] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:128:1] [-92:250:1] |
Generators of the group modulo torsion |
j |
97972181/10192 |
j-invariant |
L |
6.2174844837987 |
L(r)(E,1)/r! |
Ω |
0.40825965297377 |
Real period |
R |
3.8073101508501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550m1 36400cs1 |
Quadratic twists by: -4 5 |