Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950cr |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-14743302084000 = -1 · 25 · 32 · 53 · 76 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5572,-91728] |
[a1,a2,a3,a4,a6] |
Generators |
[28:280:1] |
Generators of the group modulo torsion |
j |
153053107249771/117946416672 |
j-invariant |
L |
11.693206529343 |
L(r)(E,1)/r! |
Ω |
0.3913103296628 |
Real period |
R |
0.49803636835294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950m2 |
Quadratic twists by: 5 |