Atkin-Lehner |
2+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
95200n |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-1812637908032000 = -1 · 29 · 53 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -2 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103888,-13084772] |
[a1,a2,a3,a4,a6] |
Generators |
[43203:8979740:1] |
Generators of the group modulo torsion |
j |
-1937510546240296/28322467313 |
j-invariant |
L |
6.524306480662 |
L(r)(E,1)/r! |
Ω |
0.13284659592736 |
Real period |
R |
4.0926318258694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200bk1 95200bh1 |
Quadratic twists by: -4 5 |