Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71944c |
Isogeny class |
Conductor |
71944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
989184 |
Modular degree for the optimal curve |
Δ |
-6697586484894106624 = -1 · 210 · 174 · 238 |
Discriminant |
Eigenvalues |
2- -2 -1 2 2 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,296064,108075856] |
[a1,a2,a3,a4,a6] |
Generators |
[447:18164:1] |
Generators of the group modulo torsion |
j |
35789564/83521 |
j-invariant |
L |
4.5552668843282 |
L(r)(E,1)/r! |
Ω |
0.16503736286376 |
Real period |
R |
6.900356995021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71944f1 |
Quadratic twists by: -23 |