Atkin-Lehner |
2- 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42636d |
Isogeny class |
Conductor |
42636 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-12598426368 = -1 · 28 · 36 · 11 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 -5 11+ 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2725,54119] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:114:1] [17:114:1] |
Generators of the group modulo torsion |
j |
-8744654012416/49212603 |
j-invariant |
L |
7.5886576780865 |
L(r)(E,1)/r! |
Ω |
1.2712059314324 |
Real period |
R |
0.16582368080679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127908g1 |
Quadratic twists by: -3 |