Atkin-Lehner |
2+ 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12402a |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84864 |
Modular degree for the optimal curve |
Δ |
-940491177320448 = -1 · 213 · 33 · 134 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 -1 13+ 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-221178,40119476] |
[a1,a2,a3,a4,a6] |
Generators |
[265:121:1] |
Generators of the group modulo torsion |
j |
-44318681593817709051/34833006567424 |
j-invariant |
L |
3.0109803784227 |
L(r)(E,1)/r! |
Ω |
0.49249781416553 |
Real period |
R |
1.5284232192606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99216t1 12402g1 |
Quadratic twists by: -4 -3 |