Atkin-Lehner |
2+ 3+ 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39990a |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13264405309440 = 211 · 36 · 5 · 312 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53863,4785973] |
[a1,a2,a3,a4,a6] |
Generators |
[123:140:1] |
Generators of the group modulo torsion |
j |
17282554145581273849/13264405309440 |
j-invariant |
L |
3.3979659899514 |
L(r)(E,1)/r! |
Ω |
0.70227121456808 |
Real period |
R |
2.4192690227533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970by2 |
Quadratic twists by: -3 |