Atkin-Lehner |
2+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57038a |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
826272 |
Modular degree for the optimal curve |
Δ |
-211988833877762 = -1 · 2 · 198 · 792 |
Discriminant |
Eigenvalues |
2+ -3 4 -4 5 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9860,-592982] |
[a1,a2,a3,a4,a6] |
Generators |
[49:53:1] |
Generators of the group modulo torsion |
j |
6241671/12482 |
j-invariant |
L |
2.8536923895458 |
L(r)(E,1)/r! |
Ω |
0.29303313035479 |
Real period |
R |
4.8692316560785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57038q1 |
Quadratic twists by: -19 |