Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bi |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1987542382143500 = -1 · 22 · 53 · 77 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25373,-1483119] |
[a1,a2,a3,a4,a6] |
Generators |
[65:629:1] |
Generators of the group modulo torsion |
j |
122837590611/135150652 |
j-invariant |
L |
3.3370779376991 |
L(r)(E,1)/r! |
Ω |
0.25184794394653 |
Real period |
R |
3.3125920003614 |
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 |
31850cl2 4550l2 |
Quadratic twists by: 5 -7 |