Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970bk |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-152439414716286720 = -1 · 28 · 34 · 5 · 118 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22564,-18730051] |
[a1,a2,a3,a4,a6] |
Generators |
[281:3005:1] |
Generators of the group modulo torsion |
j |
717157709351/86048075520 |
j-invariant |
L |
6.7247650252034 |
L(r)(E,1)/r! |
Ω |
0.15384402572774 |
Real period |
R |
2.7319735818902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270a1 |
Quadratic twists by: -11 |