Atkin-Lehner |
2+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200ba |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4089600 |
Modular degree for the optimal curve |
Δ |
-3.8955196652E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 -5 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4488208,-3670605088] |
[a1,a2,a3,a4,a6] |
Generators |
[2842:80750:1] |
Generators of the group modulo torsion |
j |
-2499670380341626/9738799163 |
j-invariant |
L |
3.0451236362021 |
L(r)(E,1)/r! |
Ω |
0.051850152131435 |
Real period |
R |
2.936465637203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994609348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64600bb1 129200v1 |
Quadratic twists by: -4 5 |