Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800cp |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
70543872000 = 212 · 39 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1620,21600] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:216:1] |
Generators of the group modulo torsion |
j |
46656/7 |
j-invariant |
L |
7.0797259414492 |
L(r)(E,1)/r! |
Ω |
1.0501015846371 |
Real period |
R |
1.6854859660479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800br1 50400cs1 100800cm1 100800bt1 |
Quadratic twists by: -4 8 -3 5 |