Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910u |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-57326726375000 = -1 · 23 · 56 · 176 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8676,-482627] |
[a1,a2,a3,a4,a6] |
Generators |
[4917:51653:27] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
6.9018043631573 |
L(r)(E,1)/r! |
Ω |
0.2391962334436 |
Real period |
R |
4.8090252535778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
190c1 |
Quadratic twists by: 17 |