Atkin-Lehner |
5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34645l |
Isogeny class |
Conductor |
34645 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1773408 |
Modular degree for the optimal curve |
Δ |
441577981703828125 = 57 · 1310 · 41 |
Discriminant |
Eigenvalues |
2 3 5- 4 6 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-199927,12716785] |
[a1,a2,a3,a4,a6] |
j |
6410686464/3203125 |
j-invariant |
L |
16.585939893583 |
L(r)(E,1)/r! |
Ω |
0.26326888719967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34645e1 |
Quadratic twists by: 13 |