Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560eg |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-5.5347316946292E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48036108,-170976259568] |
[a1,a2,a3,a4,a6] |
Generators |
[1934875850737375494:89177034527743148032:208432926179171] |
Generators of the group modulo torsion |
j |
-64144540676215729729/28962038218752000 |
j-invariant |
L |
5.3198166089929 |
L(r)(E,1)/r! |
Ω |
0.02806119849084 |
Real period |
R |
23.697386850429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560be1 26640bz1 35520cu1 |
Quadratic twists by: -4 8 -3 |