Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
91035s |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1723392 |
Modular degree for the optimal curve |
Δ |
100918317777734205 = 310 · 5 · 72 · 178 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 3 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-692733,-221393291] |
[a1,a2,a3,a4,a6] |
Generators |
[-34813878746:23909889013:75151448] |
Generators of the group modulo torsion |
j |
7229403136/19845 |
j-invariant |
L |
10.969915082983 |
L(r)(E,1)/r! |
Ω |
0.16551209635751 |
Real period |
R |
16.56965763289 |
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 |
30345o1 91035bu1 |
Quadratic twists by: -3 17 |