Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33712k |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-4.5647476108965E+19 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -5 -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17690584,28646974448] |
[a1,a2,a3,a4,a6] |
Generators |
[1132:100352:1] |
Generators of the group modulo torsion |
j |
-1270580128269753673/94725865472 |
j-invariant |
L |
2.2212904672778 |
L(r)(E,1)/r! |
Ω |
0.19228199586176 |
Real period |
R |
1.4440317574472 |
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 |
4214b1 4816e1 |
Quadratic twists by: -4 -7 |