Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950cc |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
4126405248000000000 = 216 · 33 · 59 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-477063,80788617] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:12069:1] |
Generators of the group modulo torsion |
j |
768477130627648681/264089935872000 |
j-invariant |
L |
11.85115776573 |
L(r)(E,1)/r! |
Ω |
0.22686180792125 |
Real period |
R |
0.54416193360664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390f1 |
Quadratic twists by: 5 |