Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280ff |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
36886293319680 = 212 · 37 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17787,-865046] |
[a1,a2,a3,a4,a6] |
Generators |
[165:832:1] |
Generators of the group modulo torsion |
j |
1771561/105 |
j-invariant |
L |
6.8031490503384 |
L(r)(E,1)/r! |
Ω |
0.41493470233692 |
Real period |
R |
4.0989275011362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2205k1 11760ce1 5040bd1 |
Quadratic twists by: -4 -3 -7 |