Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39326m |
Isogeny class |
Conductor |
39326 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
15724800 |
Modular degree for the optimal curve |
Δ |
-3.0098777235796E+24 |
Discriminant |
Eigenvalues |
2- -2 4 7- 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83181571,303692988993] |
[a1,a2,a3,a4,a6] |
Generators |
[10622:781209:1] |
Generators of the group modulo torsion |
j |
-2871771293482144201/135798081707008 |
j-invariant |
L |
8.2617258700733 |
L(r)(E,1)/r! |
Ω |
0.079292289725966 |
Real period |
R |
2.083866135945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
742e1 |
Quadratic twists by: 53 |