Atkin-Lehner |
2+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101738d |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-1539995187715712 = -1 · 27 · 73 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ -1 4 7+ 3 13+ 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47323,4369565] |
[a1,a2,a3,a4,a6] |
Generators |
[-610:22275:8] |
Generators of the group modulo torsion |
j |
-2428257525121/319050368 |
j-invariant |
L |
5.8523556878383 |
L(r)(E,1)/r! |
Ω |
0.46170295165654 |
Real period |
R |
3.1688966281238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999967605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826j1 |
Quadratic twists by: 13 |