Atkin-Lehner |
5+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44225a |
Isogeny class |
Conductor |
44225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
363215087890625 = 512 · 293 · 61 |
Discriminant |
Eigenvalues |
1 2 5+ 2 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-775900,-263383125] |
[a1,a2,a3,a4,a6] |
Generators |
[545978881990195985633589323352929382859915770:30139688964958183368494932961881715702834501671:162680190116328960278879581380789397831125] |
Generators of the group modulo torsion |
j |
3306144386961367489/23245765625 |
j-invariant |
L |
11.504950522954 |
L(r)(E,1)/r! |
Ω |
0.16086006025477 |
Real period |
R |
71.521485847525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8845b1 |
Quadratic twists by: 5 |