Atkin-Lehner |
3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397n |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-3837483 = -1 · 33 · 132 · 292 |
Discriminant |
Eigenvalues |
-2 3+ -4 -3 2 13- 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87,326] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:19:1] [4:-7:1] |
Generators of the group modulo torsion |
j |
-3207168/169 |
j-invariant |
L |
4.5432460799445 |
L(r)(E,1)/r! |
Ω |
2.4527917738064 |
Real period |
R |
0.46306887165491 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98397k1 98397o1 |
Quadratic twists by: -3 29 |