Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485bi |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
579600 |
Modular degree for the optimal curve |
Δ |
64522120847428125 = 36 · 55 · 78 · 173 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1634052,-803890215] |
[a1,a2,a3,a4,a6] |
Generators |
[-735:269:1] |
Generators of the group modulo torsion |
j |
114817869021184/15353125 |
j-invariant |
L |
5.0811418797029 |
L(r)(E,1)/r! |
Ω |
0.13353237429534 |
Real period |
R |
2.5367840103774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165c1 37485bc1 |
Quadratic twists by: -3 -7 |