Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700c |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-5.4372396828098E+22 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6033867,-9662088863] |
[a1,a2,a3,a4,a6] |
j |
2575826944/5764801 |
j-invariant |
L |
0.23223822017895 |
L(r)(E,1)/r! |
Ω |
0.058059579189294 |
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 |
3388d1 84700n1 |
Quadratic twists by: 5 -11 |