Atkin-Lehner |
3- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265k |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
170880 |
Modular degree for the optimal curve |
Δ |
-6121117755 = -1 · 39 · 5 · 37 · 412 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 0 3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23727,1406740] |
[a1,a2,a3,a4,a6] |
Generators |
[100:184:1] |
Generators of the group modulo torsion |
j |
-2026397656797184/8396595 |
j-invariant |
L |
2.5513372060671 |
L(r)(E,1)/r! |
Ω |
1.1816925136144 |
Real period |
R |
0.5397633430055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22755a1 |
Quadratic twists by: -3 |