Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560cm |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
35577057600 = 26 · 33 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1617,-23324] |
[a1,a2,a3,a4,a6] |
j |
2299968/175 |
j-invariant |
L |
3.0259920243022 |
L(r)(E,1)/r! |
Ω |
0.75649800819486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560m1 70560d1 10080be1 |
Quadratic twists by: -4 -3 -7 |