Atkin-Lehner |
2- 3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758v |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
116000 |
Modular degree for the optimal curve |
Δ |
-117491417568 = -1 · 25 · 35 · 75 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9155,336801] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:181:1] |
Generators of the group modulo torsion |
j |
-84859745100243121/117491417568 |
j-invariant |
L |
7.341561075652 |
L(r)(E,1)/r! |
Ω |
1.0478969079457 |
Real period |
R |
1.4011991103286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
113274z1 |
Quadratic twists by: -3 |