Atkin-Lehner |
3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325d |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-921796875 = -1 · 33 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 -3 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-675,6906] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-13:1] [-10:112:1] |
Generators of the group modulo torsion |
j |
-80621568/2185 |
j-invariant |
L |
4.5293852983536 |
L(r)(E,1)/r! |
Ω |
1.5680647341699 |
Real period |
R |
0.36106491649986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325a1 19665f1 |
Quadratic twists by: -3 5 |