Atkin-Lehner |
2- 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34038g |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-3755562613644386304 = -1 · 213 · 37 · 314 · 613 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -2 -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2403896,-1436995141] |
[a1,a2,a3,a4,a6] |
Generators |
[4461:-278999:1] |
Generators of the group modulo torsion |
j |
-2107380896664286437433/5151663393202176 |
j-invariant |
L |
9.7040710965482 |
L(r)(E,1)/r! |
Ω |
0.060614573358349 |
Real period |
R |
1.5393719819938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11346c1 |
Quadratic twists by: -3 |