Atkin-Lehner |
2+ 5- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
88450i |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
452864000000000 = 217 · 59 · 29 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 0 5 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19450,196500] |
[a1,a2,a3,a4,a6] |
Generators |
[-4755:119847:125] |
Generators of the group modulo torsion |
j |
416665342709/231866368 |
j-invariant |
L |
7.5874238637964 |
L(r)(E,1)/r! |
Ω |
0.4569051268819 |
Real period |
R |
8.3030627307859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88450r1 |
Quadratic twists by: 5 |