Atkin-Lehner |
3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319l |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
25995588096693897 = 37 · 119 · 712 |
Discriminant |
Eigenvalues |
-1 3- -2 2 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3770141,-2816679940] |
[a1,a2,a3,a4,a6] |
Generators |
[103727744050:-21810544388282:2352637] |
Generators of the group modulo torsion |
j |
3447741430043/15123 |
j-invariant |
L |
3.9802720952922 |
L(r)(E,1)/r! |
Ω |
0.10834535072888 |
Real period |
R |
18.368448987068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25773j1 77319k1 |
Quadratic twists by: -3 -11 |