Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616dw |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10160640 |
Modular degree for the optimal curve |
Δ |
-2.3473348161658E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191434131,-1019742842286] |
[a1,a2,a3,a4,a6] |
j |
-34068278205171/10307264 |
j-invariant |
L |
0.4058698766966 |
L(r)(E,1)/r! |
Ω |
0.020293494309359 |
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 |
9702f1 77616dg1 77616cy1 |
Quadratic twists by: -4 -3 -7 |