Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850hf |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
21772800 |
Modular degree for the optimal curve |
Δ |
-2.3119502618228E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70009388,-323042410608] |
[a1,a2,a3,a4,a6] |
j |
-825741822267180625/503072076283392 |
j-invariant |
L |
6.3986248116893 |
L(r)(E,1)/r! |
Ω |
0.025391368424155 |
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 |
80850q1 11550bz1 |
Quadratic twists by: 5 -7 |