Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950ch |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1381608900000000 = 28 · 34 · 58 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43813,3039617] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:2555:1] |
Generators of the group modulo torsion |
j |
595269019303561/88422969600 |
j-invariant |
L |
12.625457863766 |
L(r)(E,1)/r! |
Ω |
0.46103030071669 |
Real period |
R |
0.85579094829563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390e2 |
Quadratic twists by: 5 |