Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200fd |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
107868672000000 = 215 · 36 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154875,23454250] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:6800:1] |
Generators of the group modulo torsion |
j |
8805624625/2312 |
j-invariant |
L |
5.8044720410769 |
L(r)(E,1)/r! |
Ω |
0.58038763976561 |
Real period |
R |
1.2501282857677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650by2 6800t2 2448q2 |
Quadratic twists by: -4 -3 5 |