Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325k |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
7358538461828125 = 56 · 118 · 133 |
Discriminant |
Eigenvalues |
-1 1 5+ 2 11- 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57538,-3349433] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:194:1] |
Generators of the group modulo torsion |
j |
6289657/2197 |
j-invariant |
L |
3.896955381508 |
L(r)(E,1)/r! |
Ω |
0.31708516515344 |
Real period |
R |
2.0483221385342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1573a1 39325b1 |
Quadratic twists by: 5 -11 |