Atkin-Lehner |
3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319k |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
14673831777 = 37 · 113 · 712 |
Discriminant |
Eigenvalues |
1 3- -2 -2 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31158,2124711] |
[a1,a2,a3,a4,a6] |
Generators |
[118:225:1] |
Generators of the group modulo torsion |
j |
3447741430043/15123 |
j-invariant |
L |
3.5754716996726 |
L(r)(E,1)/r! |
Ω |
1.1006249917485 |
Real period |
R |
1.624291528249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25773k1 77319l1 |
Quadratic twists by: -3 -11 |