Atkin-Lehner |
2- 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670ck |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
3672 |
Product of Tamagawa factors cp |
deg |
4935168 |
Modular degree for the optimal curve |
Δ |
-2.0250575032504E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,87170,2165078852] |
[a1,a2,a3,a4,a6] |
Generators |
[284:-47182:1] |
Generators of the group modulo torsion |
j |
622638969431471/17212704768000000 |
j-invariant |
L |
14.191072247866 |
L(r)(E,1)/r! |
Ω |
0.1163290245545 |
Real period |
R |
0.03322189888871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810i1 |
Quadratic twists by: -7 |