Atkin-Lehner |
2+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
102010d |
Isogeny class |
Conductor |
102010 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
511632 |
Modular degree for the optimal curve |
Δ |
-272788097597440 = -1 · 219 · 5 · 1014 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 -1 -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51218,4527396] |
[a1,a2,a3,a4,a6] |
Generators |
[42:1544:1] |
Generators of the group modulo torsion |
j |
-142788711721/2621440 |
j-invariant |
L |
3.4793089313179 |
L(r)(E,1)/r! |
Ω |
0.55089774559499 |
Real period |
R |
2.1052357749619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102010f1 |
Quadratic twists by: 101 |