Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200dq |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5606E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59109075,174914895250] |
[a1,a2,a3,a4,a6] |
Generators |
[4415:2550:1] |
Generators of the group modulo torsion |
j |
13217291350697580147/90312500000 |
j-invariant |
L |
5.366226160687 |
L(r)(E,1)/r! |
Ω |
0.16292925513668 |
Real period |
R |
2.0584954786451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650c2 61200de2 12240ba2 |
Quadratic twists by: -4 -3 5 |