Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ju |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
67512690000000000 = 210 · 39 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-286200,57591000] |
[a1,a2,a3,a4,a6] |
Generators |
[145:4375:1] |
Generators of the group modulo torsion |
j |
8232302592/214375 |
j-invariant |
L |
5.9914103831524 |
L(r)(E,1)/r! |
Ω |
0.34667624316861 |
Real period |
R |
1.4402030950203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800i1 25200k1 100800jt1 20160ct1 |
Quadratic twists by: -4 8 -3 5 |