Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850eh |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
10160640 |
Modular degree for the optimal curve |
Δ |
-7.6974088794474E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87825980,-319576020353] |
[a1,a2,a3,a4,a6] |
j |
-243602310198023065827/2502840869200000 |
j-invariant |
L |
4.8300750591523 |
L(r)(E,1)/r! |
Ω |
0.024643240108792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850t1 11970h1 |
Quadratic twists by: -3 5 |