Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342ba |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
5961297329850852 = 22 · 37 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45559,454565] |
[a1,a2,a3,a4,a6] |
j |
4435194707/2528172 |
j-invariant |
L |
5.1121266965838 |
L(r)(E,1)/r! |
Ω |
0.36515190689884 |
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 |
98736bq1 37026e1 12342h1 |
Quadratic twists by: -4 -3 -11 |