Atkin-Lehner |
2+ 3- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526h |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
7650625311205632 = 28 · 39 · 73 · 174 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105903,12606381] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:4241:1] |
Generators of the group modulo torsion |
j |
180186927232726513/10494684926208 |
j-invariant |
L |
3.8737421539026 |
L(r)(E,1)/r! |
Ω |
0.41030118760718 |
Real period |
R |
2.3603040313533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999101372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37842s1 |
Quadratic twists by: -3 |