Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150eb |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
17971200 |
Modular degree for the optimal curve |
Δ |
1.4126792352989E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29285255,21238629247] |
[a1,a2,a3,a4,a6] |
Generators |
[-2461:281230:1] |
Generators of the group modulo torsion |
j |
9031490088862377843/4593378603827200 |
j-invariant |
L |
11.264834713664 |
L(r)(E,1)/r! |
Ω |
0.075352860622056 |
Real period |
R |
2.8748933330581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150o1 16830e1 |
Quadratic twists by: -3 5 |