Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760dz |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
360448 |
Modular degree for the optimal curve |
Δ |
-465393600000000 = -1 · 212 · 37 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28803,2148802] |
[a1,a2,a3,a4,a6] |
Generators |
[57:832:1] |
Generators of the group modulo torsion |
j |
-885012508801/155859375 |
j-invariant |
L |
7.3114351421589 |
L(r)(E,1)/r! |
Ω |
0.50623725504771 |
Real period |
R |
3.6106761620904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5985h1 31920ce1 |
Quadratic twists by: -4 -3 |