Atkin-Lehner |
3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68241h |
Isogeny class |
Conductor |
68241 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
204723 = 32 · 232 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 -3 6 -3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-115,-481] |
[a1,a2,a3,a4,a6] |
j |
313994137/387 |
j-invariant |
L |
2.9190434804823 |
L(r)(E,1)/r! |
Ω |
1.4595217494554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68241d1 |
Quadratic twists by: -23 |