Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540k |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3560448 |
Modular degree for the optimal curve |
Δ |
1.9684423828125E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3638808,-1606665132] |
[a1,a2,a3,a4,a6] |
Generators |
[-111768252966797103918:325415084862320489547:68849414198856712] |
Generators of the group modulo torsion |
j |
28551809744913309696/10547637939453125 |
j-invariant |
L |
7.30068028427 |
L(r)(E,1)/r! |
Ω |
0.11271025855412 |
Real period |
R |
32.386937879148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11060b1 |
Quadratic twists by: -3 |