Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560g |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5225472 |
Modular degree for the optimal curve |
Δ |
-1.0643352624185E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1960399,-1161502899] |
[a1,a2,a3,a4,a6] |
Generators |
[724:25235:1] |
Generators of the group modulo torsion |
j |
3254744802903184280576/4157559618822421875 |
j-invariant |
L |
3.346851256356 |
L(r)(E,1)/r! |
Ω |
0.083043806110539 |
Real period |
R |
4.4780264605891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56280g1 |
Quadratic twists by: -4 |