Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ch |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2124251136000 = 218 · 33 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4140,74800] |
[a1,a2,a3,a4,a6] |
Generators |
[6:224:1] |
Generators of the group modulo torsion |
j |
8869743/2401 |
j-invariant |
L |
7.5594869291306 |
L(r)(E,1)/r! |
Ω |
0.76981890982734 |
Real period |
R |
0.61373905871661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ke2 1575d2 100800cg2 100800bo2 |
Quadratic twists by: -4 8 -3 5 |