Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838r |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
442320561089482752 = 212 · 36 · 177 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1055193,-415709011] |
[a1,a2,a3,a4,a6] |
Generators |
[-15459:26948:27] |
Generators of the group modulo torsion |
j |
7384117376817/25137152 |
j-invariant |
L |
3.4573601009095 |
L(r)(E,1)/r! |
Ω |
0.14898942970752 |
Real period |
R |
2.900675644112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10982f1 5814j1 |
Quadratic twists by: -3 17 |