Atkin-Lehner |
2+ 3- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882u |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1277952 |
Modular degree for the optimal curve |
Δ |
-59257927004258304 = -1 · 216 · 39 · 74 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,59229,-10329323] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1678:1] [197:2894:1] |
Generators of the group modulo torsion |
j |
31520656919569103/81286593970176 |
j-invariant |
L |
10.660037029926 |
L(r)(E,1)/r! |
Ω |
0.1811596746238 |
Real period |
R |
7.3554152239773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294t1 |
Quadratic twists by: -3 |