Atkin-Lehner |
3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285bh |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
8456448 |
Modular degree for the optimal curve |
Δ |
-1.9251205184998E+22 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19324812,-33372464603] |
[a1,a2,a3,a4,a6] |
Generators |
[98527:30895312:1] |
Generators of the group modulo torsion |
j |
-103240915222528/2490234375 |
j-invariant |
L |
6.0539983578713 |
L(r)(E,1)/r! |
Ω |
0.035951879110547 |
Real period |
R |
1.9135421317146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095c1 129285z1 |
Quadratic twists by: -3 13 |