Atkin-Lehner |
3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319c |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-1510107344889763653 = -1 · 39 · 118 · 713 |
Discriminant |
Eigenvalues |
1 3+ -2 4 11- 4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,172947,52199054] |
[a1,a2,a3,a4,a6] |
Generators |
[52546:16465678:2197] |
Generators of the group modulo torsion |
j |
135590301/357911 |
j-invariant |
L |
7.9651360233732 |
L(r)(E,1)/r! |
Ω |
0.18797083260381 |
Real period |
R |
7.0623865023063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77319b1 77319d1 |
Quadratic twists by: -3 -11 |