Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350u |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-651200 = -1 · 26 · 52 · 11 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 7 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-133923,-18919679] |
[a1,a2,a3,a4,a6] |
Generators |
[9331:896038:1] |
Generators of the group modulo torsion |
j |
-10625500943971298905/26048 |
j-invariant |
L |
6.0822856762985 |
L(r)(E,1)/r! |
Ω |
0.12478309400397 |
Real period |
R |
8.1238110617041 |
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 |
20350q2 |
Quadratic twists by: 5 |