Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560do |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
1.9455413172974E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8752233,-9963867368] |
[a1,a2,a3,a4,a6] |
j |
13507798771700416/3544416225 |
j-invariant |
L |
3.1599424656299 |
L(r)(E,1)/r! |
Ω |
0.087776179809931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70560dh1 23520w1 10080bz1 |
Quadratic twists by: -4 -3 -7 |