Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800g |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
22647432500000000 = 28 · 510 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 1 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-612500,184362500] |
[a1,a2,a3,a4,a6] |
j |
86400000/77 |
j-invariant |
L |
3.0269726693748 |
L(r)(E,1)/r! |
Ω |
0.37837151269712 |
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 |
107800cf1 15400a1 |
Quadratic twists by: 5 -7 |