Atkin-Lehner |
2+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350be |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-18821096000000000 = -1 · 212 · 59 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -4 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100492,13950416] |
[a1,a2,a3,a4,a6] |
j |
-8377795791/1404928 |
j-invariant |
L |
2.979317130091 |
L(r)(E,1)/r! |
Ω |
0.37241430579188 |
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 |
126350dq1 126350dd1 |
Quadratic twists by: 5 -19 |