Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20650bk |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
816 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-1643910945259520000 = -1 · 217 · 54 · 78 · 592 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 5 4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-161063,-66582819] |
[a1,a2,a3,a4,a6] |
Generators |
[1675:-66918:1] |
Generators of the group modulo torsion |
j |
-739317890452113025/2630257512415232 |
j-invariant |
L |
6.9685599895441 |
L(r)(E,1)/r! |
Ω |
0.10931951776406 |
Real period |
R |
0.078118730512531 |
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 |
20650d1 |
Quadratic twists by: 5 |