Atkin-Lehner |
2+ 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
71638f |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3400704 |
Modular degree for the optimal curve |
Δ |
-1.8813649208169E+21 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 0 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1593946,-2226639148] |
[a1,a2,a3,a4,a6] |
Generators |
[366955:16774271:125] |
Generators of the group modulo torsion |
j |
-3806770633365698713/15991337969867456 |
j-invariant |
L |
4.1904014830679 |
L(r)(E,1)/r! |
Ω |
0.061163426807705 |
Real period |
R |
8.5639443807978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234g1 |
Quadratic twists by: -7 |