Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576a |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-1431248832 = -1 · 26 · 33 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309,2772] |
[a1,a2,a3,a4,a6] |
Generators |
[4:40:1] |
Generators of the group modulo torsion |
j |
-1888232256/828269 |
j-invariant |
L |
8.3206949099669 |
L(r)(E,1)/r! |
Ω |
1.4183300040173 |
Real period |
R |
2.9332718258924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576s1 108576u1 |
Quadratic twists by: -4 -3 |