Atkin-Lehner |
2- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918bb |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
181621440 |
Modular degree for the optimal curve |
Δ |
-6.7016874037594E+31 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2469129241,396689122415737] |
[a1,a2,a3,a4,a6] |
Generators |
[-70401265:25957480398:1331] |
Generators of the group modulo torsion |
j |
-35386171200283737225381417/1424500351850019530211328 |
j-invariant |
L |
6.6368007692296 |
L(r)(E,1)/r! |
Ω |
0.016265167645503 |
Real period |
R |
4.8575910597858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522b1 |
Quadratic twists by: -19 |