Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ez |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4392960 |
Modular degree for the optimal curve |
Δ |
-2.60346568608E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1612500,-2324950000] |
[a1,a2,a3,a4,a6] |
Generators |
[14617850:24386312:15625] |
Generators of the group modulo torsion |
j |
1987675000/11160261 |
j-invariant |
L |
7.2333414351991 |
L(r)(E,1)/r! |
Ω |
0.072288014645714 |
Real period |
R |
12.50785044884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800dk1 50400bj1 33600u1 100800gp1 |
Quadratic twists by: -4 8 -3 5 |