Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136d |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
863549111384064 = 211 · 35 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -6 -5 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28240,1165984] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1372:1] |
Generators of the group modulo torsion |
j |
30138446/10449 |
j-invariant |
L |
4.631354665249 |
L(r)(E,1)/r! |
Ω |
0.4592933087315 |
Real period |
R |
1.2604567127301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50568r1 101136r1 |
Quadratic twists by: -4 -7 |