Atkin-Lehner |
2+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
74200j |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387840 |
Modular degree for the optimal curve |
Δ |
-5395527200000000 = -1 · 211 · 58 · 74 · 532 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 5 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21208,-3721588] |
[a1,a2,a3,a4,a6] |
j |
-1318722290/6744409 |
j-invariant |
L |
2.1405630397818 |
L(r)(E,1)/r! |
Ω |
0.17838025252903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200t1 |
Quadratic twists by: 5 |