Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bx |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-402575670000 = -1 · 24 · 36 · 54 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29487,1949159] |
[a1,a2,a3,a4,a6] |
Generators |
[113:245:1] |
Generators of the group modulo torsion |
j |
-243090490825984/34514375 |
j-invariant |
L |
5.8519303136706 |
L(r)(E,1)/r! |
Ω |
0.91427316503842 |
Real period |
R |
0.40003978962058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115920br1 6440a1 |
Quadratic twists by: -4 -3 |