Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87814h |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3277824 |
Modular degree for the optimal curve |
Δ |
-103996988453168 = -1 · 24 · 238 · 83 |
Discriminant |
Eigenvalues |
2- -3 -2 3 -3 4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4408521,3563869305] |
[a1,a2,a3,a4,a6] |
Generators |
[1409:11462:1] |
Generators of the group modulo torsion |
j |
-64008160346804913/702512 |
j-invariant |
L |
5.3623910109355 |
L(r)(E,1)/r! |
Ω |
0.41846209847128 |
Real period |
R |
0.80090751215931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818e1 |
Quadratic twists by: -23 |