Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560r |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
4.9642502911313E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1983177,-79977996] |
[a1,a2,a3,a4,a6] |
Generators |
[2373:92610:1] |
Generators of the group modulo torsion |
j |
5820343774272/3349609375 |
j-invariant |
L |
6.4034891771878 |
L(r)(E,1)/r! |
Ω |
0.13842325885948 |
Real period |
R |
1.156505277678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560cp1 70560ci1 10080c1 |
Quadratic twists by: -4 -3 -7 |