Atkin-Lehner |
2+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42598b |
Isogeny class |
Conductor |
42598 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81000 |
Modular degree for the optimal curve |
Δ |
-2842323946496 = -1 · 210 · 196 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 3 2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9033,-340980] |
[a1,a2,a3,a4,a6] |
Generators |
[160471239:12935271274:24389] |
Generators of the group modulo torsion |
j |
-1732323601/60416 |
j-invariant |
L |
6.7451919786047 |
L(r)(E,1)/r! |
Ω |
0.24435878575485 |
Real period |
R |
13.801820052766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118b1 |
Quadratic twists by: -19 |