Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bl |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-94521754649725200 = -1 · 24 · 315 · 52 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-587727,-173907779] |
[a1,a2,a3,a4,a6] |
Generators |
[1178:27113:1] |
Generators of the group modulo torsion |
j |
-1231922871794037145/5186378855952 |
j-invariant |
L |
4.8157991288135 |
L(r)(E,1)/r! |
Ω |
0.086191850017897 |
Real period |
R |
1.1640212908544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950bv1 59850gp1 |
Quadratic twists by: -3 5 |