Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12400y |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-620000000 = -1 · 28 · 57 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -2 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,-500] |
[a1,a2,a3,a4,a6] |
Generators |
[10:50:1] |
Generators of the group modulo torsion |
j |
221184/155 |
j-invariant |
L |
2.1797960037111 |
L(r)(E,1)/r! |
Ω |
0.91722926246107 |
Real period |
R |
0.29706259014546 |
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 |
3100c1 49600cl1 111600fc1 2480o1 |
Quadratic twists by: -4 8 -3 5 |