Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400co |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37856000000000 = 214 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-299208,-63094412] |
[a1,a2,a3,a4,a6] |
Generators |
[-316:26:1] [4172:267062:1] |
Generators of the group modulo torsion |
j |
370300910741/4732 |
j-invariant |
L |
6.2174844837987 |
L(r)(E,1)/r! |
Ω |
0.20412982648689 |
Real period |
R |
15.2292406034 |
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 |
4550m2 36400cs2 |
Quadratic twists by: -4 5 |