Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077s |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-277687598086357459 = -1 · 77 · 1110 · 13 |
Discriminant |
Eigenvalues |
2 -2 -1 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-239136,-51739803] |
[a1,a2,a3,a4,a6] |
Generators |
[13379381459534961600246:493558035976076699446795:8703146066511569912] |
Generators of the group modulo torsion |
j |
-495616/91 |
j-invariant |
L |
7.8203186023641 |
L(r)(E,1)/r! |
Ω |
0.10688064793963 |
Real period |
R |
36.584352514316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011h1 77077bb1 |
Quadratic twists by: -7 -11 |