Atkin-Lehner |
3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325bl |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-751150334671875 = -1 · 314 · 56 · 19 · 232 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 3 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-104700,-13106219] |
[a1,a2,a3,a4,a6] |
Generators |
[13401674:328986455:17576] |
Generators of the group modulo torsion |
j |
-11143361069056/65944611 |
j-invariant |
L |
5.6807710857611 |
L(r)(E,1)/r! |
Ω |
0.13265672091 |
Real period |
R |
10.705773233483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775g1 3933e1 |
Quadratic twists by: -3 5 |