Atkin-Lehner |
3+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
35955d |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-131186924164380375 = -1 · 39 · 53 · 176 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 -6 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,111103,-10052504] |
[a1,a2,a3,a4,a6] |
Generators |
[281:6439:1] |
Generators of the group modulo torsion |
j |
7705723864987413/6664986240125 |
j-invariant |
L |
3.5248463881357 |
L(r)(E,1)/r! |
Ω |
0.18120595606916 |
Real period |
R |
3.2420258735774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35955b1 |
Quadratic twists by: -3 |