Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gv |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-900169200000000 = -1 · 210 · 38 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,-1465000] |
[a1,a2,a3,a4,a6] |
Generators |
[7525:652725:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
7.331129211466 |
L(r)(E,1)/r! |
Ω |
0.2146840524207 |
Real period |
R |
5.6914095740448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999773765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800pt1 12600ci1 33600bo1 100800ff1 |
Quadratic twists by: -4 8 -3 5 |