Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650bk |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-622817993164062500 = -1 · 22 · 518 · 74 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-322813,-80292969] |
[a1,a2,a3,a4,a6] |
Generators |
[4765341755:-81963624398:5929741] |
Generators of the group modulo torsion |
j |
-99166425177001/16601562500 |
j-invariant |
L |
6.1451026861604 |
L(r)(E,1)/r! |
Ω |
0.099236089324395 |
Real period |
R |
15.481017863553 |
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 |
8330i1 41650bs1 |
Quadratic twists by: 5 -7 |