Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646cb |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
62 |
Product of Tamagawa factors cp |
deg |
2142720 |
Modular degree for the optimal curve |
Δ |
-842884546553708544 = -1 · 231 · 310 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -5 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,105286,-42195207] |
[a1,a2,a3,a4,a6] |
Generators |
[497:11271:1] |
Generators of the group modulo torsion |
j |
612652326869447/4000762036224 |
j-invariant |
L |
9.6622466106677 |
L(r)(E,1)/r! |
Ω |
0.14058730999012 |
Real period |
R |
1.1085117638498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882k1 119646da1 |
Quadratic twists by: -3 17 |