Atkin-Lehner |
3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
35055i |
Isogeny class |
Conductor |
35055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4916161400625 = -1 · 312 · 54 · 192 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-437,-106626] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1221:1] |
Generators of the group modulo torsion |
j |
-12633057289/6743705625 |
j-invariant |
L |
3.4822086600247 |
L(r)(E,1)/r! |
Ω |
0.34563653981662 |
Real period |
R |
1.2593462564286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11685b2 |
Quadratic twists by: -3 |