Atkin-Lehner |
3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
122199g |
Isogeny class |
Conductor |
122199 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2146176 |
Modular degree for the optimal curve |
Δ |
-2466856883987063337 = -1 · 3 · 73 · 113 · 239 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11+ 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1812629,941595378] |
[a1,a2,a3,a4,a6] |
Generators |
[1762462:3803064:2197] |
Generators of the group modulo torsion |
j |
-365679263951/1369599 |
j-invariant |
L |
8.048222009603 |
L(r)(E,1)/r! |
Ω |
0.25874842828633 |
Real period |
R |
5.1840713942397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122199e1 |
Quadratic twists by: -23 |