Atkin-Lehner |
2+ 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434q |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-3.5222190209776E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7326306,7687712916] |
[a1,a2,a3,a4,a6] |
Generators |
[411:68685:1] |
Generators of the group modulo torsion |
j |
-59655622131011388527137/483157616046303744 |
j-invariant |
L |
3.3371834301949 |
L(r)(E,1)/r! |
Ω |
0.17122896843988 |
Real period |
R |
0.81206650277826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23478v1 |
Quadratic twists by: -3 |