Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400x |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
7983325000000 = 26 · 58 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -3 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17458,871588] |
[a1,a2,a3,a4,a6] |
Generators |
[69:16:1] |
Generators of the group modulo torsion |
j |
23539218880/319333 |
j-invariant |
L |
5.9347462602464 |
L(r)(E,1)/r! |
Ω |
0.7408099744168 |
Real period |
R |
4.0055793408032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400be1 106400cd1 |
Quadratic twists by: -4 5 |