Atkin-Lehner |
2- 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68894m |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1285632 |
Modular degree for the optimal curve |
Δ |
-39855820399833088 = -1 · 212 · 712 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 0 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-357832,83035915] |
[a1,a2,a3,a4,a6] |
Generators |
[317:1017:1] |
Generators of the group modulo torsion |
j |
-43069701481085889/338768883712 |
j-invariant |
L |
7.3535819116914 |
L(r)(E,1)/r! |
Ω |
0.36514078264936 |
Real period |
R |
1.67825266777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9842k1 |
Quadratic twists by: -7 |