Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800en |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
3.7975888125E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25192200,48659389000] |
[a1,a2,a3,a4,a6] |
Generators |
[2990:8100:1] |
Generators of the group modulo torsion |
j |
151591373397612544/32558203125 |
j-invariant |
L |
8.0580733726663 |
L(r)(E,1)/r! |
Ω |
0.16467073909604 |
Real period |
R |
2.0389357465501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800lc1 12600s1 33600cs1 20160y1 |
Quadratic twists by: -4 8 -3 5 |