Atkin-Lehner |
5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101695d |
Isogeny class |
Conductor |
101695 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-9044764284585425 = -1 · 52 · 113 · 437 |
Discriminant |
Eigenvalues |
-1 -1 5+ -2 11- -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-596341,-177559116] |
[a1,a2,a3,a4,a6] |
Generators |
[1544:-51620:1] |
Generators of the group modulo torsion |
j |
-3710197529641/1430825 |
j-invariant |
L |
1.0126864619476 |
L(r)(E,1)/r! |
Ω |
0.085898551675574 |
Real period |
R |
0.49122212566421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2365e1 |
Quadratic twists by: -43 |