Atkin-Lehner |
2+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
63602h |
Isogeny class |
Conductor |
63602 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1921536 |
Modular degree for the optimal curve |
Δ |
-2471967471096037376 = -1 · 224 · 72 · 114 · 593 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- 11+ 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,224327,-63693715] |
[a1,a2,a3,a4,a6] |
Generators |
[996498:38047159:729] |
Generators of the group modulo torsion |
j |
25478343492082120647/50448315736653824 |
j-invariant |
L |
7.9497919758412 |
L(r)(E,1)/r! |
Ω |
0.13434789290758 |
Real period |
R |
4.9310982873526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63602b1 |
Quadratic twists by: -7 |