Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200ch |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
6160384000000000 = 226 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 3 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9236033,-10800716063] |
[a1,a2,a3,a4,a6] |
j |
21272583599722441/1504000 |
j-invariant |
L |
1.3856328244907 |
L(r)(E,1)/r! |
Ω |
0.086602052207824 |
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 |
75200t1 18800s1 15040ba1 |
Quadratic twists by: -4 8 5 |