Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520cp |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25804800 |
Modular degree for the optimal curve |
Δ |
7.105362418618E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220981323,1197584713978] |
[a1,a2,a3,a4,a6] |
Generators |
[3814057921:-523204823808:148877] |
Generators of the group modulo torsion |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
3.3693965324663 |
L(r)(E,1)/r! |
Ω |
0.060568365543006 |
Real period |
R |
13.907410665762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bj1 21840ce1 |
Quadratic twists by: -4 -3 |