Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570co |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
592 |
Product of Tamagawa factors cp |
deg |
12531456 |
Modular degree for the optimal curve |
Δ |
-2.4977995868933E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-161124986,-823132069404] |
[a1,a2,a3,a4,a6] |
Generators |
[37780:6837814:1] |
Generators of the group modulo torsion |
j |
-80246864114981006021089/4332846158771650560 |
j-invariant |
L |
11.367240430548 |
L(r)(E,1)/r! |
Ω |
0.021121153694432 |
Real period |
R |
0.90910846651525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570cj1 |
Quadratic twists by: -7 |