Atkin-Lehner |
2+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400l |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
4844414080000 = 210 · 54 · 115 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 11+ 3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35275,-2547850] |
[a1,a2,a3,a4,a6] |
j |
7584811733700/7569397 |
j-invariant |
L |
8.3612278386433 |
L(r)(E,1)/r! |
Ω |
0.348384496541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400ba1 |
Quadratic twists by: 5 |