Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112q |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
72251351149824 = 28 · 313 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41865,-3257667] |
[a1,a2,a3,a4,a6] |
j |
31699134683339776/282231840429 |
j-invariant |
L |
2.0036436702177 |
L(r)(E,1)/r! |
Ω |
0.33394061170029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224q1 105336u1 |
Quadratic twists by: -4 -3 |