Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100z |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-43375500000000 = -1 · 28 · 36 · 59 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7800,-173500] |
[a1,a2,a3,a4,a6] |
Generators |
[40:450:1] |
Generators of the group modulo torsion |
j |
17997824/14875 |
j-invariant |
L |
4.4975214554983 |
L(r)(E,1)/r! |
Ω |
0.35495692582402 |
Real period |
R |
1.0558843247312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900b1 21420s1 |
Quadratic twists by: -3 5 |