Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ep |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-5.9825698242188E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1682550,824127750] |
[a1,a2,a3,a4,a6] |
Generators |
[47605:10390625:1] |
Generators of the group modulo torsion |
j |
722603599520256/820654296875 |
j-invariant |
L |
6.9317950036756 |
L(r)(E,1)/r! |
Ω |
0.10853771182914 |
Real period |
R |
3.1932656728833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800dd1 50400dp1 11200z1 20160z1 |
Quadratic twists by: -4 8 -3 5 |