Atkin-Lehner |
2+ 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190z |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12987089437500 = 22 · 312 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74439,-7796655] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:102:1] |
Generators of the group modulo torsion |
j |
62575028539471729/17814937500 |
j-invariant |
L |
4.6427240635398 |
L(r)(E,1)/r! |
Ω |
0.28903908152824 |
Real period |
R |
1.3385514163552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730k2 |
Quadratic twists by: -3 |