Atkin-Lehner |
2+ 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920f |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-15869473776000000 = -1 · 210 · 33 · 56 · 13 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-560216,161692416] |
[a1,a2,a3,a4,a6] |
Generators |
[448:656:1] |
Generators of the group modulo torsion |
j |
-18988517343705597796/15497532984375 |
j-invariant |
L |
4.1897567029494 |
L(r)(E,1)/r! |
Ω |
0.38934528644366 |
Real period |
R |
1.3451288618776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960q1 |
Quadratic twists by: -4 |