Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342u |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
2093404823651328 = 210 · 3 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32007,95613] |
[a1,a2,a3,a4,a6] |
j |
2046931732873/1181672448 |
j-invariant |
L |
3.9469289049045 |
L(r)(E,1)/r! |
Ω |
0.39469289049045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736di1 37026l1 1122a1 |
Quadratic twists by: -4 -3 -11 |