Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800o |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13920 |
Modular degree for the optimal curve |
Δ |
-293750000 = -1 · 24 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5- -1 -6 -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,625] |
[a1,a2,a3,a4,a6] |
Generators |
[0:25:1] |
Generators of the group modulo torsion |
j |
34560/47 |
j-invariant |
L |
1.8304416612535 |
L(r)(E,1)/r! |
Ω |
1.1669810638927 |
Real period |
R |
0.52284243446299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9400c1 75200ec1 18800a1 |
Quadratic twists by: -4 8 5 |