Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904bc |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
20680704 = 212 · 33 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6729,210231] |
[a1,a2,a3,a4,a6] |
Generators |
[45:24:1] [-3:480:1] |
Generators of the group modulo torsion |
j |
8227727284672/5049 |
j-invariant |
L |
8.4736326840266 |
L(r)(E,1)/r! |
Ω |
1.7795074629038 |
Real period |
R |
1.587261805241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904r1 17952l1 107712ci1 |
Quadratic twists by: -4 8 -3 |