Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200bi |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-18800000000 = -1 · 210 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 0 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1833,31537] |
[a1,a2,a3,a4,a6] |
j |
-1703680/47 |
j-invariant |
L |
1.21940894094 |
L(r)(E,1)/r! |
Ω |
1.2194089527131 |
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 |
75200ds1 4700h1 75200r1 |
Quadratic twists by: -4 8 5 |