Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248r |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
12734558705287168 = 231 · 174 · 71 |
Discriminant |
Eigenvalues |
2- -1 2 -3 2 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68577,-4255103] |
[a1,a2,a3,a4,a6] |
Generators |
[7053:591872:1] |
Generators of the group modulo torsion |
j |
136058465999737/48578486272 |
j-invariant |
L |
4.1686819825938 |
L(r)(E,1)/r! |
Ω |
0.30374656803539 |
Real period |
R |
1.7155263704142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248b1 19312f1 |
Quadratic twists by: -4 8 |