Atkin-Lehner |
3+ 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9435d |
Isogeny class |
Conductor |
9435 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-1976226795 = -1 · 33 · 5 · 172 · 373 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 -4 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,34,2126] |
[a1,a2,a3,a4,a6] |
Generators |
[46:314:1] |
Generators of the group modulo torsion |
j |
4220112896/1976226795 |
j-invariant |
L |
1.2314340008412 |
L(r)(E,1)/r! |
Ω |
1.1475643492087 |
Real period |
R |
0.17884748709885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28305j1 47175i1 |
Quadratic twists by: -3 5 |