Atkin-Lehner |
2+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
5656d |
Isogeny class |
Conductor |
5656 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
35280 |
Modular degree for the optimal curve |
Δ |
-13575954823088 = -1 · 24 · 77 · 1013 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- -6 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114035,-14785064] |
[a1,a2,a3,a4,a6] |
Generators |
[1103:-34643:1] |
Generators of the group modulo torsion |
j |
-10249956884819716096/848497176443 |
j-invariant |
L |
2.2321363852612 |
L(r)(E,1)/r! |
Ω |
0.12989951900662 |
Real period |
R |
0.4091324187911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11312d1 45248k1 50904l1 39592b1 |
Quadratic twists by: -4 8 -3 -7 |