Atkin-Lehner |
2- 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61272i |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20022709248 = 210 · 33 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33819,2393798] |
[a1,a2,a3,a4,a6] |
Generators |
[131:460:1] |
Generators of the group modulo torsion |
j |
154718510769036/724201 |
j-invariant |
L |
6.1412000940073 |
L(r)(E,1)/r! |
Ω |
1.0746664968172 |
Real period |
R |
1.4286292799456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122544b2 61272a2 |
Quadratic twists by: -4 -3 |