Atkin-Lehner |
3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
31815i |
Isogeny class |
Conductor |
31815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
118354567905 = 314 · 5 · 72 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4883,-129054] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:45:1] |
Generators of the group modulo torsion |
j |
17659279186921/162351945 |
j-invariant |
L |
2.650150953568 |
L(r)(E,1)/r! |
Ω |
0.57144678269255 |
Real period |
R |
2.318808184623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605d1 |
Quadratic twists by: -3 |