Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12402h |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
114000 |
Modular degree for the optimal curve |
Δ |
-893248943947776 = -1 · 225 · 36 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 1 5 -4 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-124277,-16893043] |
[a1,a2,a3,a4,a6] |
Generators |
[415:1488:1] |
Generators of the group modulo torsion |
j |
-291182446516741129/1225307193344 |
j-invariant |
L |
8.1430682741085 |
L(r)(E,1)/r! |
Ω |
0.12710504273603 |
Real period |
R |
1.2813131719754 |
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 |
99216bc1 1378a1 |
Quadratic twists by: -4 -3 |