Atkin-Lehner |
2- 5+ 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
78850i |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
12602304 |
Modular degree for the optimal curve |
Δ |
-3.55810625E+21 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 4 -1 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5054355,-5229931853] |
[a1,a2,a3,a4,a6] |
Generators |
[32750319:1329245210:9261] |
Generators of the group modulo torsion |
j |
-913904532986079997881/227718800000000000 |
j-invariant |
L |
17.127849850254 |
L(r)(E,1)/r! |
Ω |
0.049692853849853 |
Real period |
R |
6.6283520137637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15770a1 |
Quadratic twists by: 5 |