Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210br |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
11031552 |
Modular degree for the optimal curve |
Δ |
-1.8685441376088E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3850569,-3574425267] |
[a1,a2,a3,a4,a6] |
Generators |
[3802:189759:1] |
Generators of the group modulo torsion |
j |
-3375675045001/999000000 |
j-invariant |
L |
2.0634579144245 |
L(r)(E,1)/r! |
Ω |
0.053077990470925 |
Real period |
R |
1.6198317338376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41070be1 3330s1 |
Quadratic twists by: -3 37 |