Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bu |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-19195014234375 = -1 · 36 · 56 · 73 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3823,-191096] |
[a1,a2,a3,a4,a6] |
Generators |
[52:356:1] |
Generators of the group modulo torsion |
j |
24718462497/76765625 |
j-invariant |
L |
3.6458024550391 |
L(r)(E,1)/r! |
Ω |
0.3512264591124 |
Real period |
R |
0.28833901259515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4165d1 37485w1 |
Quadratic twists by: -3 -7 |