Atkin-Lehner |
3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
35055i |
Isogeny class |
Conductor |
35055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
15716383425 = 39 · 52 · 19 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2282,-40944] |
[a1,a2,a3,a4,a6] |
Generators |
[56:39:1] |
Generators of the group modulo torsion |
j |
1802041022809/21558825 |
j-invariant |
L |
3.4822086600247 |
L(r)(E,1)/r! |
Ω |
0.69127307963325 |
Real period |
R |
2.5186925128573 |
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 |
11685b1 |
Quadratic twists by: -3 |