Atkin-Lehner |
2- 3+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698x |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-190116171802416384 = -1 · 28 · 33 · 7 · 174 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95219,-23808557] |
[a1,a2,a3,a4,a6] |
Generators |
[467:5546:1] |
Generators of the group modulo torsion |
j |
-3536116139722820499/7041339696385792 |
j-invariant |
L |
9.7695563686735 |
L(r)(E,1)/r! |
Ω |
0.12770681373881 |
Real period |
R |
2.3906213582732 |
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 |
40698a2 |
Quadratic twists by: -3 |