Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cq |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9331200 |
Modular degree for the optimal curve |
Δ |
8.1752715687887E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42316656,105850009044] |
[a1,a2,a3,a4,a6] |
Generators |
[2652:110838:1] |
Generators of the group modulo torsion |
j |
2045963103559233496820209/1995915910348800000 |
j-invariant |
L |
8.2021696344032 |
L(r)(E,1)/r! |
Ω |
0.1303884887848 |
Real period |
R |
6.2905626953395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230y1 |
Quadratic twists by: -4 |