Atkin-Lehner |
2+ 7- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
101626i |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
1684188348416 = 214 · 73 · 173 · 61 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 2 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14135,-640291] |
[a1,a2,a3,a4,a6] |
Generators |
[142:377:1] |
Generators of the group modulo torsion |
j |
910613979349983/4910170112 |
j-invariant |
L |
3.4157432382995 |
L(r)(E,1)/r! |
Ω |
0.43799096339846 |
Real period |
R |
1.9496653388447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626j1 |
Quadratic twists by: -7 |