Atkin-Lehner |
2- 3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528z |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
846386429952 = 220 · 3 · 72 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-269144,53833200] |
[a1,a2,a3,a4,a6] |
Generators |
[301:34:1] |
Generators of the group modulo torsion |
j |
526404369443051737/206637312 |
j-invariant |
L |
4.9448788761697 |
L(r)(E,1)/r! |
Ω |
0.72251880811947 |
Real period |
R |
1.7109862146558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566j1 |
Quadratic twists by: -4 |