Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350dg |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
2038579530718832500 = 22 · 54 · 7 · 1911 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1805188,930254481] |
[a1,a2,a3,a4,a6] |
j |
22125312720025/69330772 |
j-invariant |
L |
1.0508523925377 |
L(r)(E,1)/r! |
Ω |
0.26271329802891 |
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 |
126350v2 6650i1 |
Quadratic twists by: 5 -19 |