Atkin-Lehner |
2- 3- 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31110ba |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
93184 |
Modular degree for the optimal curve |
Δ |
9475184148480 = 214 · 38 · 5 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42415,-3362503] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:113:1] |
Generators of the group modulo torsion |
j |
8438840258967534961/9475184148480 |
j-invariant |
L |
10.971369907663 |
L(r)(E,1)/r! |
Ω |
0.33269702090558 |
Real period |
R |
0.58887608685651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330f1 |
Quadratic twists by: -3 |