Atkin-Lehner |
2- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510m |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2967552 |
Modular degree for the optimal curve |
Δ |
157420742611866200 = 23 · 52 · 19 · 2310 |
Discriminant |
Eigenvalues |
2- -2 5- -2 3 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2804240,-1807602008] |
[a1,a2,a3,a4,a6] |
j |
58869575089/3800 |
j-invariant |
L |
2.800004079182 |
L(r)(E,1)/r! |
Ω |
0.11666684164429 |
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 |
100510j1 |
Quadratic twists by: -23 |