Atkin-Lehner |
3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7581a |
Isogeny class |
Conductor |
7581 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1646675321766237 = 36 · 7 · 199 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ -4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-259927,-51077540] |
[a1,a2,a3,a4,a6] |
Generators |
[220702:36541807:8] |
Generators of the group modulo torsion |
j |
6018636259/5103 |
j-invariant |
L |
2.4574872139054 |
L(r)(E,1)/r! |
Ω |
0.21145044031188 |
Real period |
R |
11.622048222178 |
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 |
121296da2 22743l2 53067n2 7581d2 |
Quadratic twists by: -4 -3 -7 -19 |