Atkin-Lehner |
2- 3- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238bz |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
181248 |
Modular degree for the optimal curve |
Δ |
-2568854574 = -1 · 2 · 38 · 11 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11+ 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33368,2354393] |
[a1,a2,a3,a4,a6] |
Generators |
[854:-283:8] |
Generators of the group modulo torsion |
j |
-5636045784154681/3523806 |
j-invariant |
L |
9.5396156196049 |
L(r)(E,1)/r! |
Ω |
1.1914578484852 |
Real period |
R |
2.001668717875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31746s1 |
Quadratic twists by: -3 |