Atkin-Lehner |
3+ 11+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
91377a |
Isogeny class |
Conductor |
91377 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
2198256489 = 39 · 112 · 13 · 71 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 11+ 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62831,6077566] |
[a1,a2,a3,a4,a6] |
Generators |
[146:-52:1] |
Generators of the group modulo torsion |
j |
1393631182665099/111683 |
j-invariant |
L |
2.6837027416712 |
L(r)(E,1)/r! |
Ω |
1.1157032065112 |
Real period |
R |
2.4053912482529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91377b1 |
Quadratic twists by: -3 |