Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560ec |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-7684644441600000 = -1 · 212 · 36 · 55 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 7 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15288,4154416] |
[a1,a2,a3,a4,a6] |
Generators |
[252:4900:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
7.1455308132153 |
L(r)(E,1)/r! |
Ω |
0.31109767574867 |
Real period |
R |
0.57421923803944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560bo1 7840c1 10080br1 |
Quadratic twists by: -4 -3 -7 |