Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12950n |
Isogeny class |
Conductor |
12950 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-42073203200 = -1 · 29 · 52 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,52,9872] |
[a1,a2,a3,a4,a6] |
Generators |
[38:240:1] |
Generators of the group modulo torsion |
j |
621257495/1682928128 |
j-invariant |
L |
8.1603508558534 |
L(r)(E,1)/r! |
Ω |
0.89775466782734 |
Real period |
R |
0.12624630134822 |
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 |
103600bc1 116550bt1 12950h1 90650ce1 |
Quadratic twists by: -4 -3 5 -7 |