Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104ck |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
46286669611008 = 223 · 38 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 3 -2 -6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12963,464290] |
[a1,a2,a3,a4,a6] |
Generators |
[30:320:1] |
Generators of the group modulo torsion |
j |
95930521/18432 |
j-invariant |
L |
11.085843778767 |
L(r)(E,1)/r! |
Ω |
0.60562726887971 |
Real period |
R |
4.5761825755722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999623056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138k1 40368bm1 121104dc1 |
Quadratic twists by: -4 -3 29 |