Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568m |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2219520 |
Modular degree for the optimal curve |
Δ |
-6.2062628912223E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 1 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2876475,-4229930806] |
[a1,a2,a3,a4,a6] |
Generators |
[7945:688788:1] |
Generators of the group modulo torsion |
j |
-1762982669155531250/4156929770033781 |
j-invariant |
L |
7.0846120630106 |
L(r)(E,1)/r! |
Ω |
0.054117453497111 |
Real period |
R |
3.2727944522498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17784l1 11856c1 |
Quadratic twists by: -4 -3 |