Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039g |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-8.9634011404045E+19 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ 11- 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1115513,-43271538] |
[a1,a2,a3,a4,a6] |
Generators |
[3610:225868:1] [6858:314167:8] |
Generators of the group modulo torsion |
j |
31804393380282368/18570034862379 |
j-invariant |
L |
5.2159168731651 |
L(r)(E,1)/r! |
Ω |
0.11261087482198 |
Real period |
R |
2.8948785371585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117m1 3003c1 |
Quadratic twists by: -3 13 |