Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ee |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-7329949200 = -1 · 24 · 39 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380,-4913] |
[a1,a2,a3,a4,a6] |
Generators |
[85:713:1] |
Generators of the group modulo torsion |
j |
-12301875/14896 |
j-invariant |
L |
10.4623321739 |
L(r)(E,1)/r! |
Ω |
0.51689790078411 |
Real period |
R |
1.2650385305666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850r1 59850v1 |
Quadratic twists by: -3 5 |