Atkin-Lehner |
5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84835a |
Isogeny class |
Conductor |
84835 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
775656 |
Modular degree for the optimal curve |
Δ |
4318664857421875 = 59 · 196 · 47 |
Discriminant |
Eigenvalues |
1 1 5+ 1 3 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1281919,558532867] |
[a1,a2,a3,a4,a6] |
Generators |
[13284886400041:109699533205249:24464768327] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
8.7076474362327 |
L(r)(E,1)/r! |
Ω |
0.40203120219722 |
Real period |
R |
21.659133392241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
235b1 |
Quadratic twists by: -19 |