Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560k |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
5861376 |
Modular degree for the optimal curve |
Δ |
1.331782043097E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21770251,-39064797376] |
[a1,a2,a3,a4,a6] |
Generators |
[-22070:18711:8] |
Generators of the group modulo torsion |
j |
71317162938462199946512384/83236377693561085125 |
j-invariant |
L |
7.9421267516944 |
L(r)(E,1)/r! |
Ω |
0.069897900168316 |
Real period |
R |
3.1562411955451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280a1 |
Quadratic twists by: -4 |