Atkin-Lehner |
3- 5- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35805n |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2211521783625 = 32 · 53 · 78 · 11 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8793,308431] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1017:1] |
Generators of the group modulo torsion |
j |
75173354460214921/2211521783625 |
j-invariant |
L |
7.8423392152249 |
L(r)(E,1)/r! |
Ω |
0.81844309855666 |
Real period |
R |
3.1940071048946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107415k1 |
Quadratic twists by: -3 |