Atkin-Lehner |
2- 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270ca |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
49759488240 = 24 · 3 · 5 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-980,4517] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:131:1] |
Generators of the group modulo torsion |
j |
104094944089921/49759488240 |
j-invariant |
L |
7.2026203952257 |
L(r)(E,1)/r! |
Ω |
1.0048887466896 |
Real period |
R |
0.89594748908163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bd2 |
Quadratic twists by: -3 |