Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850c |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-8797950 = -1 · 2 · 33 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-642,6426] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-6:1] |
Generators of the group modulo torsion |
j |
-43391581875/13034 |
j-invariant |
L |
4.0257194758387 |
L(r)(E,1)/r! |
Ω |
2.2668415701417 |
Real period |
R |
0.88795783718985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850dq1 59850el1 |
Quadratic twists by: -3 5 |