Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200bg |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1470183781250000 = 24 · 59 · 196 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -4 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30083,783838] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:1444:1] [-13:1083:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
7.6579194081892 |
L(r)(E,1)/r! |
Ω |
0.42493990928706 |
Real period |
R |
4.5052954787575 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72200r1 200d1 |
Quadratic twists by: 5 -19 |