Atkin-Lehner |
2- 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080bt |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
-5547871790967029760 = -1 · 249 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -4 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1211265,525874977] |
[a1,a2,a3,a4,a6] |
j |
-749724414259642849/21163451351040 |
j-invariant |
L |
0.95998277700138 |
L(r)(E,1)/r! |
Ω |
0.23999569826407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080bb1 17520s1 |
Quadratic twists by: -4 8 |