Atkin-Lehner |
2+ 3- 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610r |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3035136 |
Modular degree for the optimal curve |
Δ |
1.913750857137E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8022638,5673641888] |
[a1,a2,a3,a4,a6] |
Generators |
[-2956:61155:1] |
Generators of the group modulo torsion |
j |
57105142962516331549939801/19137508571369963520000 |
j-invariant |
L |
6.4914680736751 |
L(r)(E,1)/r! |
Ω |
0.11246351866843 |
Real period |
R |
7.2150820000779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830by1 |
Quadratic twists by: -3 |