Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325bz |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-18194127134765625 = -1 · 310 · 59 · 193 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 3 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31551305,-68206203678] |
[a1,a2,a3,a4,a6] |
Generators |
[158642194765456485523518:16622892809301668668485780:11544141363310070047] |
Generators of the group modulo torsion |
j |
-2439597123220149269/12778317 |
j-invariant |
L |
4.6613395485893 |
L(r)(E,1)/r! |
Ω |
0.031850424740264 |
Real period |
R |
36.587734595393 |
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 |
32775l1 98325cf1 |
Quadratic twists by: -3 5 |