Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968w |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-6.3217879251285E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 5 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4877832,5641609808] |
[a1,a2,a3,a4,a6] |
Generators |
[1402808:54414252:1331] |
Generators of the group modulo torsion |
j |
-91368216064/45001899 |
j-invariant |
L |
7.4050040313327 |
L(r)(E,1)/r! |
Ω |
0.12484767490603 |
Real period |
R |
7.4140387716407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968bw1 34656w1 5472u1 |
Quadratic twists by: -4 -3 -19 |