Atkin-Lehner |
2- 3- 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
70290q |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-1.1455370238318E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-971492,-633007609] |
[a1,a2,a3,a4,a6] |
Generators |
[1341:21109:1] |
Generators of the group modulo torsion |
j |
-139095618712978040569/157138137699840000 |
j-invariant |
L |
9.3159138167713 |
L(r)(E,1)/r! |
Ω |
0.072829786627521 |
Real period |
R |
1.3324324211053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430c1 |
Quadratic twists by: -3 |