Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150fm |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
104186880 |
Modular degree for the optimal curve |
Δ |
-3.0928280625E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1212603980,-31305990002353] |
[a1,a2,a3,a4,a6] |
j |
-17311437234395043487224049/27152400000000000000000 |
j-invariant |
L |
2.7645361326635 |
L(r)(E,1)/r! |
Ω |
0.012125158595585 |
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 |
28050bb1 16830bf1 |
Quadratic twists by: -3 5 |