Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904bf |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
3115008 |
Modular degree for the optimal curve |
Δ |
8.9163405695404E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26354369,-50062566753] |
[a1,a2,a3,a4,a6] |
Generators |
[-2579:27540:1] |
Generators of the group modulo torsion |
j |
7722211175253055152433/340131399900069888 |
j-invariant |
L |
4.8668524762224 |
L(r)(E,1)/r! |
Ω |
0.066814010606872 |
Real period |
R |
2.8016075071773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904cd1 1122g1 107712by1 |
Quadratic twists by: -4 8 -3 |