Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200t |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1997568000 = 211 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-555,-4550] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:20:1] |
Generators of the group modulo torsion |
j |
2735262/289 |
j-invariant |
L |
6.4655345829707 |
L(r)(E,1)/r! |
Ω |
0.99034081949339 |
Real period |
R |
0.81607443311611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600bs2 61200m2 61200n2 |
Quadratic twists by: -4 -3 5 |