Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664ce |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
520224768 |
Modular degree for the optimal curve |
Δ |
-4.8352938321492E+33 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-302388372723,-64089705208116814] |
[a1,a2,a3,a4,a6] |
Generators |
[1945867319120898371962357:418114066996425385274149566:2966140223618953627] |
Generators of the group modulo torsion |
j |
-1024074375966668466862743896129521/1619330121041898938277298176 |
j-invariant |
L |
7.3355980409125 |
L(r)(E,1)/r! |
Ω |
0.0032187490945431 |
Real period |
R |
35.609709244991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10458d1 27888u1 |
Quadratic twists by: -4 -3 |