Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dd |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-139793288198256 = -1 · 24 · 39 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157437,-24050817] |
[a1,a2,a3,a4,a6] |
Generators |
[2200203390:18156524239:4492125] |
Generators of the group modulo torsion |
j |
-33958656/11 |
j-invariant |
L |
6.6488078213392 |
L(r)(E,1)/r! |
Ω |
0.1198352037606 |
Real period |
R |
13.870731664867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404e1 77616dt1 77616de1 |
Quadratic twists by: -4 -3 -7 |