Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800eu |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-117050572800 = -1 · 217 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -6 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6060,182320] |
[a1,a2,a3,a4,a6] |
Generators |
[54:112:1] |
Generators of the group modulo torsion |
j |
-10303010/49 |
j-invariant |
L |
6.0227476043225 |
L(r)(E,1)/r! |
Ω |
1.0554950232263 |
Real period |
R |
0.71326101382064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800lh1 12600bz1 11200s1 100800gj1 |
Quadratic twists by: -4 8 -3 5 |